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56800872 = 2333972711
BaseRepresentation
bin1101100010101…
…1011001101000
310221212210011000
43120223121220
5104020111442
65345235000
71256541132
oct330533150
9127783130
1056800872
112a076377
1217032a60
13b9c9aab
147788052
154ebed4c
hex362b668

56800872 has 64 divisors (see below), whose sum is σ = 159465600. Its totient is φ = 18731520.

The previous prime is 56800853. The next prime is 56800889. The reversal of 56800872 is 27800865.

56800872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19597 + ... + 22307.

It is an arithmetic number, because the mean of its divisors is an integer number (2491650).

Almost surely, 256800872 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 56800872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79732800).

56800872 is an abundant number, since it is smaller than the sum of its proper divisors (102664728).

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

56800872 is a wasteful number, since it uses less digits than its factorization.

56800872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 56800872 is about 7536.6353235380. The cubic root of 56800872 is about 384.4014356595.

The spelling of 56800872 in words is "fifty-six million, eight hundred thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 2711 3492 5238 5422 6984 8133 10476 10844 16266 20952 21688 24399 32532 48798 65064 73197 97596 146394 195192 262967 292788 525934 585576 788901 1051868 1577802 2103736 2366703 3155604 4733406 6311208 7100109 9466812 14200218 18933624 28400436 56800872