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56566272 = 29375261
BaseRepresentation
bin1101011111001…
…0001000000000
310221102212100010
43113302020000
5103440110042
65340224520
71254543150
oct327621000
9127385303
1056566272
1129a26094
1216b3b140
13b947089
147726760
154e7559c
hex35f2200

56566272 has 80 divisors (see below), whose sum is σ = 172256832. Its totient is φ = 16158720.

The previous prime is 56566271. The next prime is 56566273. The reversal of 56566272 is 27266565.

It is an interprime number because it is at equal distance from previous prime (56566271) and next prime (56566273).

It is a self number, because there is not a number n which added to its sum of digits gives 56566272.

It is not an unprimeable number, because it can be changed into a prime (56566271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8122 + ... + 13382.

Almost surely, 256566272 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 56566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86128416).

56566272 is an abundant number, since it is smaller than the sum of its proper divisors (115690560).

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

56566272 is an equidigital number, since it uses as much as digits as its factorization.

56566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5273 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 56566272 is about 7521.0552451102. The cubic root of 56566272 is about 383.8714847717.

The spelling of 56566272 in words is "fifty-six million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5261 5376 10522 10752 15783 21044 31566 36827 42088 63132 73654 84176 110481 126264 147308 168352 220962 252528 294616 336704 441924 505056 589232 673408 883848 1010112 1178464 1346816 1767696 2020224 2356928 2693632 3535392 4040448 4713856 7070784 8080896 9427712 14141568 18855424 28283136 56566272