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56472832 = 281371239
BaseRepresentation
bin1101011101101…
…1010100000000
310221021010011101
43113123110000
5103424112312
65334224144
71254003553
oct327332400
9127233141
1056472832
1129971969
1216ab5054
13b9136a0
14770069a
154e57a57
hex35db500

56472832 has 72 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 25589760.

The previous prime is 56472811. The next prime is 56472847. The reversal of 56472832 is 23827465.

It is a junction number, because it is equal to n+sod(n) for n = 56472791 and 56472800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236169 + ... + 236407.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 256472832 is an apocalyptic number.

56472832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

56472832 is an abundant number, since it is smaller than the sum of its proper divisors (67148288).

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

56472832 is a wasteful number, since it uses less digits than its factorization.

56472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 56472832 is about 7514.8407834099. The cubic root of 56472832 is about 383.6599999731.

The spelling of 56472832 in words is "fifty-six million, four hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 239 256 284 416 478 568 832 923 956 1136 1664 1846 1912 2272 3107 3328 3692 3824 4544 6214 7384 7648 9088 12428 14768 15296 16969 18176 24856 29536 30592 33938 49712 59072 61184 67876 99424 118144 135752 198848 220597 236288 271504 397696 441194 543008 795392 882388 1086016 1764776 2172032 3529552 4344064 7059104 14118208 28236416 56472832