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56527074 = 232173159101
BaseRepresentation
bin1101011110100…
…0100011100010
310221100212120100
43113220203202
5103432331244
65335323230
71254320652
oct327504342
9127325510
1056527074
11299a969a
1216b20516
13b932296
147716362
154e68b69
hex35e88e2

56527074 has 96 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 16704000.

The previous prime is 56527027. The next prime is 56527087. The reversal of 56527074 is 47072565.

56527074 is a `hidden beast` number, since 565 + 27 + 0 + 74 = 666.

56527074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

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 47 ways as a sum of consecutive naturals, for example, 559624 + ... + 559724.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 256527074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56527074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

56527074 is an abundant number, since it is smaller than the sum of its proper divisors (80952606).

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

56527074 is a wasteful number, since it uses less digits than its factorization.

56527074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 56527074 is about 7518.4489091833. The cubic root of 56527074 is about 383.7827954585.

The spelling of 56527074 in words is "fifty-six million, five hundred twenty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 59 62 93 101 102 118 153 177 186 202 279 303 306 354 527 531 558 606 909 1003 1054 1062 1581 1717 1818 1829 2006 3009 3131 3162 3434 3658 4743 5151 5487 5959 6018 6262 9027 9393 9486 10302 10974 11918 15453 16461 17877 18054 18786 28179 30906 31093 32922 35754 53227 53631 56358 62186 93279 101303 106454 107262 159681 184729 186558 202606 279837 303909 319362 369458 479043 554187 559674 607818 911727 958086 1108374 1662561 1823454 3140393 3325122 6280786 9421179 18842358 28263537 56527074