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56775072 = 253591407
BaseRepresentation
bin1101100010010…
…1000110100000
310221211110202110
43120211012200
5104013300242
65344515320
71256402664
oct330450640
9127743673
1056775072
112a058a52
121701bb40
13b9bb123
14777c8a4
154eb739c
hex36251a0

56775072 has 24 divisors (see below), whose sum is σ = 149034816. Its totient is φ = 18924992.

The previous prime is 56775067. The next prime is 56775077. The reversal of 56775072 is 27057765.

It is an interprime number because it is at equal distance from previous prime (56775067) and next prime (56775077).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56775072.

It is not an unprimeable number, because it can be changed into a prime (56775077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295608 + ... + 295799.

It is an arithmetic number, because the mean of its divisors is an integer number (6209784).

Almost surely, 256775072 is an apocalyptic number.

It is an amenable number.

56775072 is an abundant number, since it is smaller than the sum of its proper divisors (92259744).

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

56775072 is a wasteful number, since it uses less digits than its factorization.

56775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591420 (or 591412 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 56775072 is about 7534.9234899898. The cubic root of 56775072 is about 384.3432261130.

The spelling of 56775072 in words is "fifty-six million, seven hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 591407 1182814 1774221 2365628 3548442 4731256 7096884 9462512 14193768 18925024 28387536 56775072