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56667564 = 22327321563
BaseRepresentation
bin1101100000101…
…0110110101100
310221122000021200
43120022312230
5104001330224
65342325500
71255444362
oct330126654
9127560250
1056667564
1129a951a8
1216b89890
13b981205
147751632
154e955c9
hex360adac

56667564 has 36 divisors (see below), whose sum is σ = 145211976. Its totient is φ = 18629568.

The previous prime is 56667551. The next prime is 56667577. The reversal of 56667564 is 46576665.

56667564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56667551) and next prime (56667577).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×566675642 = 6422425619388192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8154 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (4033666).

Almost surely, 256667564 is an apocalyptic number.

It is an amenable number.

56667564 is an abundant number, since it is smaller than the sum of its proper divisors (88544412).

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

56667564 is a wasteful number, since it uses less digits than its factorization.

56667564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646 (or 21641 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 56667564 is about 7527.7861287367. The cubic root of 56667564 is about 384.1004782636.

The spelling of 56667564 in words is "fifty-six million, six hundred sixty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 21563 43126 64689 86252 129378 194067 258756 388134 776268 1574099 3148198 4722297 6296396 9444594 14166891 18889188 28333782 56667564