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56523264 = 29372751
BaseRepresentation
bin1101011110011…
…1101000000000
310221100200100020
43113213220000
5103432221024
65335253440
71254303600
oct327475000
9127320306
1056523264
11299a6846
1216b1a280
13b930625
147714c00
154e67979
hex35e7a00

56523264 has 120 divisors (see below), whose sum is σ = 175399488. Its totient is φ = 16128000.

The previous prime is 56523241. The next prime is 56523287. The reversal of 56523264 is 46232565.

It is an interprime number because it is at equal distance from previous prime (56523241) and next prime (56523287).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74889 + ... + 75639.

Almost surely, 256523264 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 56523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87699744).

56523264 is an abundant number, since it is smaller than the sum of its proper divisors (118876224).

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

56523264 is an equidigital number, since it uses as much as digits as its factorization.

56523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 56523264 is about 7518.1955281836. The cubic root of 56523264 is about 383.7741727745.

The spelling of 56523264 in words is "fifty-six million, five hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 751 768 784 896 1176 1344 1502 1536 1568 1792 2253 2352 2688 3004 3136 3584 4506 4704 5257 5376 6008 6272 9012 9408 10514 10752 12016 12544 15771 18024 18816 21028 24032 25088 31542 36048 36799 37632 42056 48064 63084 72096 73598 75264 84112 96128 110397 126168 144192 147196 168224 192256 220794 252336 288384 294392 336448 384512 441588 504672 576768 588784 672896 883176 1009344 1153536 1177568 1345792 1766352 2018688 2355136 2691584 3532704 4037376 4710272 7065408 8074752 9420544 14130816 18841088 28261632 56523264