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56257728 = 2631132593
BaseRepresentation
bin1101011010011…
…0110011000000
310220212012002120
43112212303000
5103400221403
65325444240
71252116462
oct326466300
9126765076
1056257728
112983529a
1216a10680
13b8697c7
147686132
154e13e53
hex35a6cc0

56257728 has 56 divisors (see below), whose sum is σ = 150223728. Its totient is φ = 18579456.

The previous prime is 56257687. The next prime is 56257757. The reversal of 56257728 is 82775265.

It is a self number, because there is not a number n which added to its sum of digits gives 56257728.

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, 20400 + ... + 22992.

Almost surely, 256257728 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 56257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75111864).

56257728 is an abundant number, since it is smaller than the sum of its proper divisors (93966000).

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

56257728 is a wasteful number, since it uses less digits than its factorization.

56257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2711 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 56257728 is about 7500.5151823058. The cubic root of 56257728 is about 383.1722621764.

The spelling of 56257728 in words is "fifty-six million, two hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2593 2712 3616 5186 5424 7232 7779 10372 10848 15558 20744 21696 31116 41488 62232 82976 124464 165952 248928 293009 497856 586018 879027 1172036 1758054 2344072 3516108 4688144 7032216 9376288 14064432 18752576 28128864 56257728