Recent Articles

Number 48

48 is the natural number following 47 and preceding 49.

List of numbers — Integers << 40 41 42 43 44 45 46 47 48 49 >>
Cardinal	forty-eight
Ordinal	48th (forty-eighth)
Factorization	<math>2^4\cdot 3<math>
Divisors	2, 3, 4, 6, 8, 12, 16, 24
Roman numeral	XLVIII
Binary	0110000
Hexadecimal	30

In mathematics

Forty-eight is the double factorial of 6, four dozens, a highly composite number, a 17-gonal number and a Harshad number.

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.

In other fields

Forty-eight is also:

• the atomic number of cadmium.
• twice the total number of major and minor keys in the 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.
• the code for international direct dial phone calls to Poland.
• the model number of the HP-48 S/SX/G/GX/G+/GII
• the number of hours in two days, and hence also part of the title of the movies 48 Hrs. and Another 48 Hrs., starring Eddie Murphy and Nick Nolte.
• the years AD 48, 48 BC, or 1948.