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56670624 = 2533107613
BaseRepresentation
bin1101100000101…
…1100110100000
310221122011111000
43120023212200
5104001424444
65342352000
71255456323
oct330134640
9127564430
1056670624
1129a9752a
1216b8b600
13b98271a
1477527ba
154e96469
hex360b9a0

56670624 has 96 divisors (see below), whose sum is σ = 167106240. Its totient is φ = 18683136.

The previous prime is 56670619. The next prime is 56670629. The reversal of 56670624 is 42607665.

56670624 is a `hidden beast` number, since 566 + 70 + 6 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (56670619) and next prime (56670629).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (56670629) 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 15 ways as a sum of consecutive naturals, for example, 92142 + ... + 92754.

It is an arithmetic number, because the mean of its divisors is an integer number (1740690).

Almost surely, 256670624 is an apocalyptic number.

56670624 is a gapful number since it is divisible by the number (54) 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 56670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83553120).

56670624 is an abundant number, since it is smaller than the sum of its proper divisors (110435616).

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

56670624 is a wasteful number, since it uses less digits than its factorization.

56670624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56670624 is about 7527.9893729999. The cubic root of 56670624 is about 384.1073918383.

The spelling of 56670624 in words is "fifty-six million, six hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 613 642 856 864 963 1226 1284 1712 1839 1926 2452 2568 2889 3424 3678 3852 4904 5136 5517 5778 7356 7704 9808 10272 11034 11556 14712 15408 16551 19616 22068 23112 29424 30816 33102 44136 46224 58848 65591 66204 88272 92448 131182 132408 176544 196773 262364 264816 393546 524728 529632 590319 787092 1049456 1180638 1574184 1770957 2098912 2361276 3148368 3541914 4722552 6296736 7083828 9445104 14167656 18890208 28335312 56670624