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56013952 = 272391831
BaseRepresentation
bin1101010110101…
…1010010000000
310220101210200211
43111223102000
5103314421302
65320323504
71250052661
oct325532200
9126353624
1056013952
1129689125
1216913594
13b7b2867
147621368
154db6ad7
hex356b480

56013952 has 32 divisors (see below), whose sum is σ = 112118400. Its totient is φ = 27874560.

The previous prime is 56013949. The next prime is 56013977. The reversal of 56013952 is 25931065.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 29677 + ... + 31507.

It is an arithmetic number, because the mean of its divisors is an integer number (3503700).

Almost surely, 256013952 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 56013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56059200).

56013952 is an abundant number, since it is smaller than the sum of its proper divisors (56104448).

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

56013952 is a wasteful number, since it uses less digits than its factorization.

56013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 56013952 is about 7484.2469227037. The cubic root of 56013952 is about 382.6180067922.

It can be divided in two parts, 56013 and 952, that added together give a palindrome (56965).

The spelling of 56013952 in words is "fifty-six million, thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 239 478 956 1831 1912 3662 3824 7324 7648 14648 15296 29296 30592 58592 117184 234368 437609 875218 1750436 3500872 7001744 14003488 28006976 56013952