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56379264 = 273413581
BaseRepresentation
bin1101011100010…
…0011110000000
310221002100210220
43113010132000
5103413114024
65332223040
71253134014
oct327043600
9127070726
1056379264
1129908637
1216a6aa80
13b8acc16
1476b8544
154e39e79
hex35c4780

56379264 has 64 divisors (see below), whose sum is σ = 153452880. Its totient is φ = 18329600.

The previous prime is 56379217. The next prime is 56379283. The reversal of 56379264 is 46297365.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13954 + ... + 17534.

Almost surely, 256379264 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 56379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76726440).

56379264 is an abundant number, since it is smaller than the sum of its proper divisors (97073616).

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

56379264 is a wasteful number, since it uses less digits than its factorization.

56379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3627 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 56379264 is about 7508.6126548118. The cubic root of 56379264 is about 383.4479915782.

The spelling of 56379264 in words is "fifty-six million, three hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3581 3936 5248 7162 7872 10743 14324 15744 21486 28648 42972 57296 85944 114592 146821 171888 229184 293642 343776 440463 458368 587284 687552 880926 1174568 1375104 1761852 2349136 3523704 4698272 7047408 9396544 14094816 18793088 28189632 56379264