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56240256 = 273167877
BaseRepresentation
bin1101011010001…
…0100010000000
310220211022010110
43112202202000
5103344142011
65325231320
71252014522
oct326424200
9126738113
1056240256
1129823156
1216a02540
13b861877
14767da12
154e0dba6
hex35a2880

56240256 has 64 divisors (see below), whose sum is σ = 150454080. Its totient is φ = 18613248.

The previous prime is 56240227. The next prime is 56240263. The reversal of 56240256 is 65204265.

It is a tau number, because it is divible by the number of its divisors (64).

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, 63690 + ... + 64566.

It is an arithmetic number, because the mean of its divisors is an integer number (2350845).

Almost surely, 256240256 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 56240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75227040).

56240256 is an abundant number, since it is smaller than the sum of its proper divisors (94213824).

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

56240256 is a wasteful number, since it uses less digits than its factorization.

56240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56240256 is about 7499.3503718656. The cubic root of 56240256 is about 383.1325907144.

The spelling of 56240256 in words is "fifty-six million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 877 1002 1336 1754 2004 2631 2672 3508 4008 5262 5344 7016 8016 10524 10688 14032 16032 21048 21376 28064 32064 42096 56128 64128 84192 112256 146459 168384 292918 336768 439377 585836 878754 1171672 1757508 2343344 3515016 4686688 7030032 9373376 14060064 18746752 28120128 56240256