Girish Mahajan (Editor)

48 (number)

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48
  
49 →

Ordinal
  
48th (forty-eighth)

Roman numeral
  
XLVIII

Cardinal
  
forty-eight

Factorization
  
2× 3

Divisors
  
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

Contents

In mathematics

Forty-eight is the double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number. 48 is the second 17-gonal number.

48 is in abundance having an aliquot sum of 76. It is the lowest composite number to fall into the 41-aliquot tree having the 7 aliquot number sequence,(48, 76, 64, 63, 41, 1, 0). 48 is highly abundant with an aliquot sum 158% higher than itself.

48 is the smallest number with exactly ten divisors.

There are 11 solutions to the equation φ(x) = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient number.

Since the greatest prime factor of 482 + 1 = 2305 is 461, which is clearly more than 48 twice, 48 is a Størmer number.

48 is a Harshad number in base 10. It has 24, 2, 12, and 4 as factors.

In science

  • The atomic number of cadmium
  • The number of Ptolemaic constellations
  • Astronomy

  • Messier object M48, a magnitude 5.5 open cluster in the constellation Hydra
  • The New General Catalogue object NGC 48, a barred spiral galaxy in the constellation Andromeda
  • The Saros number of the solar eclipse series which began on -1331 February 8 and ended on -15 April 9. The duration of Saros series 48 was 1316.2 years, and it contained 74 solar eclipses.
  • The Saros number of the lunar eclipse series which began on -1246 July 11 and ended on 124 October. The duration of Saros series 48 was 1370.3 years, and it contained 77 lunar eclipses.
  • In religion

  • The prophecies of 48 Jewish prophets and 7 prophetesses [1] were recorded in the Tanakh for posterity
  • According to the Mishnah, Torah wisdom is acquired via 48 ways (Pirkei Avoth 6:6)
  • Siddhartha Gautama, the founder of Buddhism, sat under a bodhi tree for 48 days attempting to understand the nature of reality and Universe. Buddhism was the result.
  • In music

  • 48 is twice the total number of major and minor keys in Western tonal music (twenty-four), not counting enharmonic equivalents. Johann Sebastian Bach's Well-Tempered Clavier is informally known as The Forty-Eight because it consists of a prelude and a fugue in each major and minor key, for a total of forty-eight pieces.
  • 48 is a song by Sunny Day Real Estate
  • 48 Hour Parole is a song by the Hollies
  • 48 Crash is a song by Suzi Quatro
  • Formerly known as Bonehead, Familiar 48 is an alternative pop/rock band
  • The jam band Phish has 48 albums to date.
  • On the band tool’s album, Ænima, there is a song named Forty-Six & 2; the sum of which is 48.
  • AKB48 is the name of a Japanese pop idol group that, by the thoughts of many peoples, it consists of approximately 48 members. In fact, the idol group consists more than 48 members.
  • 48 is a song by Tyler, The Creator
  • Forty eight is a song by Truckfighters off their 2007 album Phi
  • In sports

  • 48 is the number of a NASCAR car owned by Hendrick Motorsports. It is currently being driven by seven-time Sprint Cup Series champion Jimmie Johnson.
  • 48 is the retired number of former U.S. President Gerald Ford's jersey at the University of Michigan.
  • 48 is the total number of minutes in a full NBA game.
  • In other fields

    Forty-eight may also refer to:

  • the code for international direct dial phone calls to Poland
  • the model number of the HP-48 S/SX/G/GX/G+/GII
  • the 48 Hour Film Project
  • The First 48, an American crime program, 2004-present
  • 48 Hours is a television news program on CBS
  • 48 Hrs., a 1982 film starring Nick Nolte and Eddie Murphy, followed by Another 48 Hrs.
  • Arizona is the 48th state in the Union
  • The 48 United States (excluding Alaska and Hawaii) are also referred to as the "Lower 48" or the "48 contiguous states"
  • '48 is an alternate history novel by James Herbert
  • The 48 Laws of Power is a book by Robert Greene
  • The number 48 in ASCII is what you add to any single digit integer to convert to its ASCII value
  • MAC address uses 48-bit (6-byte)
  • The number of the French department Lozère
  • a model of Harley-Davidson in the Sportster line.
  • In Chinese Numerology, 48 is an auspicious number meaning 'determined to prosper', or simply 'prosperity'; which is good for business.
  • References

    48 (number) Wikipedia