| ||||
---|---|---|---|---|
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 one third of a gross, or four dozens.
Forty-eight is the double factorial of 6,[1] a highly composite number.[2] Like all other multiples of 6, it is a semiperfect number.[3] 48 is the second 17-gonal number.[4]
48 is the smallest number with exactly ten divisors, and the first multiple of 12 not to be a sum of twin primes.
The Sum of Odd Anti-Factors of 48 = number * (n/2) where n is an Odd number. So, 48 is an Odd Anti-Factor Hemiperfect Number.
Other such numbers include 6048, 38688, 82132, 975312, etc.
Odd Anti-Factors of 48 = 5, 19
Sum of Odd Anti-Factors = 5 + 19 = 24 = 48 * 1/2
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.[5]
Since the greatest prime factor of 482 + 1 = 2305 is 461, which is clearly more than twice 48, 48 is a Størmer number.[6]
48 is a Harshad number in base 10.[7] It has 24, 2, 12, and 4 as factors.
Forty-eight may also refer to: