48 (number)
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|---|---|---|---|---|
| Cardinal | forty-eight | |||
| Ordinal | 48th (forty-eighth) |
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| Factorization | 24× 3 | |||
| Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | |||
| Roman numeral | XLVIII | |||
| Binary | 1100002 | |||
| Ternary | 12103 | |||
| Quaternary | 3004 | |||
| Quinary | 1435 | |||
| Senary | 1206 | |||
| Octal | 608 | |||
| Duodecimal | 4012 | |||
| Hexadecimal | 3016 | |||
| Vigesimal | 2820 | |||
| Base 36 | 1C36 | |||
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, 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.
Forty-eight may also refer to:
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Wikipedia