Base | Representation |
---|---|
bin | 1011011100011… |
… | …0111100011000 |
3 | 10100022200201010 |
4 | 2313012330120 |
5 | 44242011132 |
6 | 4432453520 |
7 | 1122000000 |
oct | 267067430 |
9 | 110280633 |
10 | 48000792 |
11 | 25105784 |
12 | 140aa2a0 |
13 | 9c38448 |
14 | 6537000 |
15 | 43326cc |
hex | 2dc6f18 |
48000792 has 112 divisors (see below), whose sum is σ = 148237560. Its totient is φ = 12907776.
The previous prime is 48000779. The next prime is 48000811. The reversal of 48000792 is 29700084.
48000792 is a modest number, since divided by 792 gives 48 as remainder.
It is a zygodrome in base 7.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2823568 + ... + 2823584.
Almost surely, 248000792 is an apocalyptic number.
48000792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48000792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118780).
48000792 is an abundant number, since it is smaller than the sum of its proper divisors (100236768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48000792 is an frugal number, since it uses more digits than its factorization.
48000792 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 68 (or 29 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 30.
The square root of 48000792 is about 6928.2603877164. The cubic root of 48000792 is about 363.4261173881.
The spelling of 48000792 in words is "forty-eight million, seven hundred ninety-two", and thus it is an aban number.
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