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56746656 = 253421893
BaseRepresentation
bin1101100001111…
…0001010100000
310221210000210000
43120132022200
5104011343111
65344140000
71256224101
oct330361240
9127700700
1056746656
112a03966a
1217007600
13b9ab205
1477723a8
154eadc56
hex361e2a0

56746656 has 60 divisors (see below), whose sum is σ = 166897962. Its totient is φ = 18914688.

The previous prime is 56746639. The next prime is 56746691. The reversal of 56746656 is 65664765.

It can be written as a sum of positive squares in only one way, i.e., 42458256 + 14288400 = 6516^2 + 3780^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8355 + ... + 13538.

Almost surely, 256746656 is an apocalyptic number.

It is an amenable number.

56746656 is an abundant number, since it is smaller than the sum of its proper divisors (110151306).

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

56746656 is a wasteful number, since it uses less digits than its factorization.

56746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915 (or 21898 counting only the distinct ones).

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

The square root of 56746656 is about 7533.0376343146. The cubic root of 56746656 is about 384.2790939783.

The spelling of 56746656 in words is "fifty-six million, seven hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 21893 43786 65679 87572 131358 175144 197037 262716 350288 394074 525432 591111 700576 788148 1050864 1182222 1576296 1773333 2101728 2364444 3152592 3546666 4728888 6305184 7093332 9457776 14186664 18915552 28373328 56746656