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56683644 = 223171391999
BaseRepresentation
bin1101100000111…
…0110001111100
310221122211100020
43120032301330
5104002334034
65342532140
71255542303
oct330166174
9127584306
1056683644
1129aa6296
1216b97050
13b988624
14775743a
154e9a249
hex360ec7c

56683644 has 48 divisors (see below), whose sum is σ = 141120000. Its totient is φ = 17646336.

The previous prime is 56683639. The next prime is 56683651. The reversal of 56683644 is 44638665.

56683644 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (414720) is a multiple of the sum of its prime divisors (2160).

56683644 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 56683596 and 56683605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27357 + ... + 29355.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 256683644 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 56683644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

56683644 is an abundant number, since it is smaller than the sum of its proper divisors (84436356).

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

56683644 is a wasteful number, since it uses less digits than its factorization.

56683644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2160 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 56683644 is about 7528.8540960760. The cubic root of 56683644 is about 384.1368056389.

The spelling of 56683644 in words is "fifty-six million, six hundred eighty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 556 834 1668 1999 2363 3998 4726 5997 7089 7996 9452 11994 14178 23988 28356 33983 67966 101949 135932 203898 277861 407796 555722 833583 1111444 1667166 3334332 4723637 9447274 14170911 18894548 28341822 56683644