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56689952 = 25116
BaseRepresentation
bin1101100001000…
…0010100100000
310221200010222212
43120100110200
5104003034302
65343021252
71255566554
oct330202440
9127603885
1056689952
112a000000
1216b9a828
13b98b467
147759864
154e9c052
hex3610520

56689952 has 42 divisors (see below), whose sum is σ = 122769171. Its totient is φ = 25768160.

The previous prime is 56689937. The next prime is 56689961. The reversal of 56689952 is 25998665.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 28344976 + 28344976 = 5324^2 + 5324^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5324.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56689952.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 5153627 + ... + 5153637.

Almost surely, 256689952 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 56689952

56689952 is an abundant number, since it is smaller than the sum of its proper divisors (66079219).

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

56689952 is an frugal number, since it uses more digits than its factorization.

56689952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 13 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 56689952 is about 7529.2730060744. The cubic root of 56689952 is about 384.1510545763.

Multiplying 56689952 by its sum of digits (50), we get a square (2834497600 = 532402).

The spelling of 56689952 in words is "fifty-six million, six hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 10648 14641 21296 29282 42592 58564 117128 161051 234256 322102 468512 644204 1288408 1771561 2576816 3543122 5153632 7086244 14172488 28344976 56689952