48 (number)

From Wikipedia, the free encyclopedia

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


Cardinal 48
forty-eight
Ordinal 48th
forty-eighth
Factorization 2^4\cdot 3
Divisors 1, 2, 3, 4, 6, 8,
12, 16, 24, 48
Roman numeral XLVIII
Binary 110000
Duodecimal 40
Hexadecimal 30
Octal 60

Contents

[edit] 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 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.

48 is in base 10 a Harshad number.

[edit] In science

[edit] Astronomy

[edit] In religion

[edit] 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
  • Formerly known as Bonehead, Familiar 48 is an alternative pop/rock band

[edit] In sports

  • 48 was the number worn by baseball player "Sudden" Sam McDowell for the Cleveland Indians (1964-71), San Francisco Giants (1972-73), New York Yankees (1974-75), and Pittsburgh Pirates (1975).

[edit] In other fields

Forty-eight is:

  • the number of hours in two days, and hence also part of the title of the movies 48 Hrs. and Another 48 Hrs.
  • the code for international direct dial phone calls to Poland.
  • the model number of the HP-48 S/SX/G/GX/G+/GII
  • The car number of 2006 NASCAR Nextel Cup champion Jimmie Johnson
  • the number of hours one has to make a film in the 48 Hour Film Project
  • the number of cards in a Pinochle or Hanafuda deck.
  • 48 Hours starred Eddie Murphy and Nick Nolte. The sequel was “Another 48 Hours”
  • "48 Hours" is a TV show on CBS
  • The number of episodes of Space:1999.
  • Arizona is the 48th state in the Union
  • The "Continental" 48 states are also referred to as the Lower 48" and "48 contiguous states"
  • Howdy Doody had 48 freckles (there were only 48 states in the Union when it first aired in 1947)
  • “48" is a book written by James Herbert
  • The number 48 in ASCII is what you add to any single digit integer to convert to its ASCII value.
  • If programing, use modulus ten to break it into individual digits.
  • 48 is the number of chromosomes apes have.

[edit] Historical years

48 A.D., 48 B.C., 1948, 2048, etc.