| ||||
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Cardinal | forty-eight | |||
Ordinal | 48th (forty-eighth) | |||
Factorization | 24 × 3 | |||
Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | |||
Greek numeral | ΜΗ´ | |||
Roman numeral | XLVIII | |||
Binary | 1100002 | |||
Ternary | 12103 | |||
Senary | 1206 | |||
Octal | 608 | |||
Duodecimal | 4012 | |||
Hexadecimal | 3016 |
48 (forty-eight) is the natural number following 47 and preceding 49. It is four dozens or one third of a gross.
Forty-eight is the double factorial of 6, [1] [2] a highly composite number. [3] Like all other multiples of 6, it is a semiperfect number. [4] 48 is the second 17-gonal number. [5]
48 is the smallest number with exactly ten divisors, [6] and the first multiple of 12 not to be a sum of twin primes.
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. [7]
Since the greatest prime factor of 482 + 1 = 2305 is 461, which is clearly more than twice 48, 48 is a Størmer number. [8]
48 is a Harshad number in decimal, [9] as it is divisible by 4+8 = 12.
48 is the floor and nearest-integer value of the ninth imaginary part of non-trivial zeroes in the Riemann zeta function (see, Riemann hypothesis). [10] [11]
Among the nine first such floor and ceiling values, this is the closest to an integer, differing from 48 by a value of around [12]
Forty-eight may also refer to:
33 (thirty-three) is the natural number following 32 and preceding 34.
84 (eighty-four) is the natural number following 83 and preceding 85.
104 is the natural number following 103 and preceding 105.
100 or one hundred is the natural number following 99 and preceding 101.
300 is the natural number following 299 and preceding 301.
400 is the natural number following 399 and preceding 401.
720 is the natural number following 719 and preceding 721.
700 is the natural number following 699 and preceding 701.
600 is the natural number following 599 and preceding 601.
900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.
2000 is a natural number following 1999 and preceding 2001.
4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.
8000 is the natural number following 7999 and preceding 8001.
100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.
168 is the natural number following 167 and preceding 169.
1728 is the natural number following 1727 and preceding 1729. It is a dozen gross, or one great gross. It is also the number of cubic inches in a cubic foot.
240 is the natural number following 239 and preceding 241.
744 is the natural number following 743 and preceding 745.
14 (fourteen) is a natural number following 13 and preceding 15.
420 is the natural number following 419 and preceding 421.