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56345664 = 263293467
BaseRepresentation
bin1101011011110…
…0010001000000
310221000122201110
43112330101000
5103411030124
65331403320
71252634034
oct326742100
9127018643
1056345664
1129895371
1216a53540
13b89a83b
1476aa1c4
154e30029
hex35bc440

56345664 has 28 divisors (see below), whose sum is σ = 149081744. Its totient is φ = 18781824.

The previous prime is 56345647. The next prime is 56345669. The reversal of 56345664 is 46654365.

It is not an unprimeable number, because it can be changed into a prime (56345669) 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 3 ways as a sum of consecutive naturals, for example, 146542 + ... + 146925.

It is an arithmetic number, because the mean of its divisors is an integer number (5324348).

Almost surely, 256345664 is an apocalyptic number.

It is an amenable number.

56345664 is an abundant number, since it is smaller than the sum of its proper divisors (92736080).

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

56345664 is a wasteful number, since it uses less digits than its factorization.

56345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293482 (or 293472 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 56345664 is about 7506.3748907179. The cubic root of 56345664 is about 383.3718027345.

The spelling of 56345664 in words is "fifty-six million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293467 586934 880401 1173868 1760802 2347736 3521604 4695472 7043208 9390944 14086416 18781888 28172832 56345664