Search a number
-
+
56428596 = 22337210663
BaseRepresentation
bin1101011101000…
…0100000110100
310221011212111000
43113100200310
5103421203341
65333243300
71253430600
oct327204064
9127155430
1056428596
1129941704
1216a93530
13b8c9503
1476cc500
154e498b6
hex35d0834

56428596 has 72 divisors (see below), whose sum is σ = 170197440. Its totient is φ = 16120944.

The previous prime is 56428573. The next prime is 56428609. The reversal of 56428596 is 69582465.

56428596 is a `hidden beast` number, since 56 + 4 + 2 + 8 + 596 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40 + ... + 10623.

Almost surely, 256428596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56428596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85098720).

56428596 is an abundant number, since it is smaller than the sum of its proper divisors (113768844).

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

56428596 is a wasteful number, since it uses less digits than its factorization.

56428596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10675 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56428596 is about 7511.8969641496. The cubic root of 56428596 is about 383.5597982982.

The spelling of 56428596 in words is "fifty-six million, four hundred twenty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 10663 21326 31989 42652 63978 74641 95967 127956 149282 191934 223923 287901 298564 383868 447846 522487 575802 671769 895692 1044974 1151604 1343538 1567461 2015307 2089948 2687076 3134922 4030614 4702383 6269844 8061228 9404766 14107149 18809532 28214298 56428596