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56756901 = 361331937
BaseRepresentation
bin1101100010000…
…0101010100101
310221210112211110
43120200222211
5104012210101
65344255233
71256266005
oct330405245
9127715743
1056756901
112a046333
1217011519
13b9b2a86
147776005
154eb1cd6
hex3620aa5

56756901 has 16 divisors (see below), whose sum is σ = 77231168. Its totient is φ = 37065600.

The previous prime is 56756899. The next prime is 56756911. The reversal of 56756901 is 10965765.

It is not a de Polignac number, because 56756901 - 21 = 56756899 is a prime.

It is a super-2 number, since 2×567569012 = 6442691622247602, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56756901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56756911) 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, 60105 + ... + 61041.

It is an arithmetic number, because the mean of its divisors is an integer number (4826948).

Almost surely, 256756901 is an apocalyptic number.

It is an amenable number.

56756901 is a deficient number, since it is larger than the sum of its proper divisors (20474267).

56756901 is a wasteful number, since it uses less digits than its factorization.

56756901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 56756901 is about 7533.7176081932. The cubic root of 56756901 is about 384.3022184095.

The spelling of 56756901 in words is "fifty-six million, seven hundred fifty-six thousand, nine hundred one".

Divisors: 1 3 61 183 331 937 993 2811 20191 57157 60573 171471 310147 930441 18918967 56756901