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56265888 = 2537101829
BaseRepresentation
bin1101011010100…
…0110010100000
310220212121021210
43112220302200
5103401002023
65325550120
71252152330
oct326506240
9126777253
1056265888
1129840438
1216a15340
13b870433
1476890c0
154e16593
hex35a8ca0

56265888 has 96 divisors (see below), whose sum is σ = 170674560. Its totient is φ = 15897600.

The previous prime is 56265877. The next prime is 56265901. The reversal of 56265888 is 88856265.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67458 + ... + 68286.

It is an arithmetic number, because the mean of its divisors is an integer number (1777860).

Almost surely, 256265888 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 56265888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85337280).

56265888 is an abundant number, since it is smaller than the sum of its proper divisors (114408672).

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

56265888 is a wasteful number, since it uses less digits than its factorization.

56265888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 56265888 is about 7501.0591252169. The cubic root of 56265888 is about 383.1907872431.

The spelling of 56265888 in words is "fifty-six million, two hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 829 1212 1414 1616 1658 2121 2424 2487 2828 3232 3316 4242 4848 4974 5656 5803 6632 8484 9696 9948 11312 11606 13264 16968 17409 19896 22624 23212 26528 33936 34818 39792 46424 67872 69636 79584 83729 92848 139272 167458 185696 251187 278544 334916 502374 557088 586103 669832 1004748 1172206 1339664 1758309 2009496 2344412 2679328 3516618 4018992 4688824 7033236 8037984 9377648 14066472 18755296 28132944 56265888