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56506896 = 243459739
BaseRepresentation
bin1101011110001…
…1101000010000
310221022211220000
43113203220100
5103431210041
65335050000
71254205065
oct327435020
9127284800
1056506896
1129995516
1216b10900
13b926044
14770cc6c
154e62bb6
hex35e3a10

56506896 has 100 divisors (see below), whose sum is σ = 166544400. Its totient is φ = 18491328.

The previous prime is 56506873. The next prime is 56506903. The reversal of 56506896 is 69860565.

56506896 is a `hidden beast` number, since 56 + 506 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76095 + ... + 76833.

It is an arithmetic number, because the mean of its divisors is an integer number (1665444).

Almost surely, 256506896 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 56506896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83272200).

56506896 is an abundant number, since it is smaller than the sum of its proper divisors (110037504).

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

56506896 is a wasteful number, since it uses less digits than its factorization.

56506896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56506896 is about 7517.1068902870. The cubic root of 56506896 is about 383.7371247718.

The spelling of 56506896 in words is "fifty-six million, five hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 739 944 1062 1296 1416 1478 1593 2124 2217 2832 2956 3186 4248 4434 4779 5912 6372 6651 8496 8868 9558 11824 12744 13302 17736 19116 19953 25488 26604 35472 38232 39906 43601 53208 59859 76464 79812 87202 106416 119718 130803 159624 174404 239436 261606 319248 348808 392409 478872 523212 697616 784818 957744 1046424 1177227 1569636 2092848 2354454 3139272 3531681 4708908 6278544 7063362 9417816 14126724 18835632 28253448 56506896