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12825568 = 257311847
BaseRepresentation
bin110000111011…
…001111100000
3220010121101001
4300323033200
511240404233
61134521344
7214005220
oct60731740
926117331
1012825568
117270048
124366254
1328709c2
1419bc080
1511d527d
hexc3b3e0

12825568 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 5316480.

The previous prime is 12825557. The next prime is 12825577. The reversal of 12825568 is 86552821.

12825568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6021 + ... + 7867.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 212825568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

12825568 is an abundant number, since it is smaller than the sum of its proper divisors (16978976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12825568 is a wasteful number, since it uses less digits than its factorization.

12825568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1887 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 12825568 is about 3581.2802180226. The cubic root of 12825568 is about 234.0770681448.

The spelling of 12825568 in words is "twelve million, eight hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 1847 3472 3694 6944 7388 12929 14776 25858 29552 51716 57257 59104 103432 114514 206864 229028 400799 413728 458056 801598 916112 1603196 1832224 3206392 6412784 12825568