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56557105 = 5112959601
BaseRepresentation
bin1101011110111…
…1111000110001
310221102101202121
43113233320301
5103434311410
65340114241
71254504343
oct327577061
9127371677
1056557105
1129a1a210
1216b35981
13b942b57
147723293
154e729da
hex35efe31

56557105 has 32 divisors (see below), whose sum is σ = 78019200. Its totient is φ = 38976000.

The previous prime is 56557093. The next prime is 56557117. The reversal of 56557105 is 50175565.

It is an interprime number because it is at equal distance from previous prime (56557093) and next prime (56557117).

It is not a de Polignac number, because 56557105 - 29 = 56556593 is a prime.

It is a super-2 number, since 2×565571052 = 6397412251962050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93805 + ... + 94405.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 256557105 is an apocalyptic number.

56557105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56557105 is a deficient number, since it is larger than the sum of its proper divisors (21462095).

56557105 is a wasteful number, since it uses less digits than its factorization.

56557105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 26250, while the sum is 34.

The square root of 56557105 is about 7520.4457979564. The cubic root of 56557105 is about 383.8507472080.

The spelling of 56557105 in words is "fifty-six million, five hundred fifty-seven thousand, one hundred five".

Divisors: 1 5 11 29 55 59 145 295 319 601 649 1595 1711 3005 3245 6611 8555 17429 18821 33055 35459 87145 94105 177295 191719 390049 958595 1028311 1950245 5141555 11311421 56557105