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55956656 = 2471729389
BaseRepresentation
bin1101010101110…
…1010010110000
310220021220002202
43111131102300
5103311103111
65315202332
71246423640
oct325352260
9126256082
1055956656
112964a078
12168a63a8
13b792762
147608520
154da4b3b
hex355d4b0

55956656 has 40 divisors (see below), whose sum is σ = 131196960. Its totient is φ = 22569984.

The previous prime is 55956647. The next prime is 55956661. The reversal of 55956656 is 65665955.

55956656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×559566562 = 6262294701404672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55956656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12791 + ... + 16598.

It is an arithmetic number, because the mean of its divisors is an integer number (3279924).

Almost surely, 255956656 is an apocalyptic number.

55956656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55956656 is an abundant number, since it is smaller than the sum of its proper divisors (75240304).

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

55956656 is a wasteful number, since it uses less digits than its factorization.

55956656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29421 (or 29415 counting only the distinct ones).

The product of its digits is 1215000, while the sum is 47.

The square root of 55956656 is about 7480.4181701293. The cubic root of 55956656 is about 382.4875038280.

The spelling of 55956656 in words is "fifty-five million, nine hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 29389 58778 117556 205723 235112 411446 470224 499613 822892 999226 1645784 1998452 3291568 3497291 3996904 6994582 7993808 13989164 27978328 55956656