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56536416 = 2532196307
BaseRepresentation
bin1101011110101…
…0110101100000
310221101100101100
43113222311200
5103433131131
65335434400
71254360126
oct327526540
9127340340
1056536416
1129a05712
1216b25a00
13b936601
147719916
154e6b7e6
hex35ead60

56536416 has 36 divisors (see below), whose sum is σ = 160776252. Its totient is φ = 18845376.

The previous prime is 56536367. The next prime is 56536433. The reversal of 56536416 is 61463565.

56536416 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 641 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97866 + ... + 98441.

It is an arithmetic number, because the mean of its divisors is an integer number (4466007).

Almost surely, 256536416 is an apocalyptic number.

It is an amenable number.

56536416 is an abundant number, since it is smaller than the sum of its proper divisors (104239836).

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

56536416 is a wasteful number, since it uses less digits than its factorization.

56536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196323 (or 196312 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56536416 is about 7519.0701552785. The cubic root of 56536416 is about 383.8039363687.

The spelling of 56536416 in words is "fifty-six million, five hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 196307 392614 588921 785228 1177842 1570456 1766763 2355684 3140912 3533526 4711368 6281824 7067052 9422736 14134104 18845472 28268208 56536416