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12924256 = 251929733
BaseRepresentation
bin110001010011…
…010101100000
3220022121202011
4301103111200
511302034011
61141002304
7214566022
oct61232540
926277664
1012924256
117328204
1243b3394
1328a68b7
141a06012
151204621
hexc53560

12924256 has 48 divisors (see below), whose sum is σ = 27745200. Its totient is φ = 5902848.

The previous prime is 12924221. The next prime is 12924257. The reversal of 12924256 is 65242921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17266 + ... + 17998.

It is an arithmetic number, because the mean of its divisors is an integer number (578025).

Almost surely, 212924256 is an apocalyptic number.

12924256 is a gapful number since it is divisible by the number (16) 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 12924256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872600).

12924256 is an abundant number, since it is smaller than the sum of its proper divisors (14820944).

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

12924256 is a wasteful number, since it uses less digits than its factorization.

12924256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 12924256 is about 3595.0321278119. The cubic root of 12924256 is about 234.6759136049.

The spelling of 12924256 in words is "twelve million, nine hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 733 928 1102 1466 2204 2932 4408 5864 8816 11728 13927 17632 21257 23456 27854 42514 55708 85028 111416 170056 222832 340112 403883 445664 680224 807766 1615532 3231064 6462128 12924256