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56924816 = 24132373163
BaseRepresentation
bin1101100100100…
…1101010010000
310222010002011112
43121021222100
5104033043231
65352032452
71260565364
oct331115220
9128102145
1056924816
112a150503
1217092728
13ba41330
1477bb2a4
154ee692b
hex3649a90

56924816 has 80 divisors (see below), whose sum is σ = 126408576. Its totient is φ = 24634368.

The previous prime is 56924807. The next prime is 56924821. The reversal of 56924816 is 61842965.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 349151 + ... + 349313.

Almost surely, 256924816 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 56924816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63204288).

56924816 is an abundant number, since it is smaller than the sum of its proper divisors (69483760).

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

56924816 is a wasteful number, since it uses less digits than its factorization.

56924816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 56924816 is about 7544.8536102432. The cubic root of 56924816 is about 384.6808306600.

The spelling of 56924816 in words is "fifty-six million, nine hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 73 92 104 146 163 184 208 292 299 326 368 584 598 652 949 1168 1196 1304 1679 1898 2119 2392 2608 3358 3749 3796 4238 4784 6716 7498 7592 8476 11899 13432 14996 15184 16952 21827 23798 26864 29992 33904 43654 47596 48737 59984 87308 95192 97474 154687 174616 190384 194948 273677 309374 349232 389896 547354 618748 779792 1094708 1237496 2189416 2474992 3557801 4378832 7115602 14231204 28462408 56924816