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56325888 = 283329281
BaseRepresentation
bin1101011011011…
…1011100000000
310220222122121000
43112313130000
5103404412023
65331132000
71252522263
oct326673400
9126878530
1056325888
1129881523
1216a44000
13b891838
1476a2cda
154e29243
hex35b7700

56325888 has 144 divisors (see below), whose sum is σ = 172922400. Its totient is φ = 18063360.

The previous prime is 56325887. The next prime is 56325889. The reversal of 56325888 is 88852365.

It is a happy number.

56325888 is a `hidden beast` number, since 5 + 63 + 2 + 588 + 8 = 666.

56325888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56325887) and next prime (56325889).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56325883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200308 + ... + 200588.

It is an arithmetic number, because the mean of its divisors is an integer number (1200850).

Almost surely, 256325888 is an apocalyptic number.

56325888 is a gapful number since it is divisible by the number (58) 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 56325888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86461200).

56325888 is an abundant number, since it is smaller than the sum of its proper divisors (116596512).

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

56325888 is a wasteful number, since it uses less digits than its factorization.

56325888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 56325888 is about 7505.0574947831. The cubic root of 56325888 is about 383.3269459973.

The spelling of 56325888 in words is "fifty-six million, three hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 281 288 348 384 432 464 522 562 576 696 768 783 843 864 928 1044 1124 1152 1392 1566 1686 1728 1856 2088 2248 2304 2529 2784 3132 3372 3456 3712 4176 4496 5058 5568 6264 6744 6912 7424 7587 8149 8352 8992 10116 11136 12528 13488 15174 16298 16704 17984 20232 22272 24447 25056 26976 30348 32596 33408 35968 40464 48894 50112 53952 60696 65192 66816 71936 73341 80928 97788 100224 107904 121392 130384 146682 161856 195576 200448 215808 220023 242784 260768 293364 323712 391152 440046 485568 521536 586728 647424 782304 880092 971136 1043072 1173456 1564608 1760184 1942272 2086144 2346912 3129216 3520368 4693824 6258432 7040736 9387648 14081472 18775296 28162944 56325888