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56650464 = 25321315131
BaseRepresentation
bin1101100000011…
…0101011100000
310221121010211100
43120012223200
5104000303324
65342114400
71255343463
oct330065340
9127533740
1056650464
1129a83372
1216b7ba00
13b9764b0
1477492da
154e904c9
hex3606ae0

56650464 has 72 divisors (see below), whose sum is σ = 173503512. Its totient is φ = 17429760.

The previous prime is 56650453. The next prime is 56650469. The reversal of 56650464 is 46405665.

It is a happy number.

56650464 is a `hidden beast` number, since 566 + 50 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56650469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3822 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (2409771).

Almost surely, 256650464 is an apocalyptic number.

It is an amenable number.

56650464 is an abundant number, since it is smaller than the sum of its proper divisors (116853048).

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

56650464 is a wasteful number, since it uses less digits than its factorization.

56650464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15160 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56650464 is about 7526.6502509416. The cubic root of 56650464 is about 384.0618389993.

The spelling of 56650464 in words is "fifty-six million, six hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15131 30262 45393 60524 90786 121048 136179 181572 196703 242096 272358 363144 393406 484192 544716 590109 726288 786812 1089432 1180218 1452576 1573624 1770327 2178864 2360436 3147248 3540654 4357728 4720872 6294496 7081308 9441744 14162616 18883488 28325232 56650464