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56687004 = 223211257557
BaseRepresentation
bin1101100000111…
…1100110011100
310221122222221200
43120033212130
5104002441004
65342555500
71255555143
oct330174634
9127588850
1056687004
1129aa8870
1216b98b90
13b98a00a
14775875a
154e9b239
hex360f99c

56687004 has 72 divisors (see below), whose sum is σ = 157208688. Its totient is φ = 17080320.

The previous prime is 56686963. The next prime is 56687009. The reversal of 56687004 is 40078665.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56687004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56687009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101494 + ... + 102050.

It is an arithmetic number, because the mean of its divisors is an integer number (2183454).

Almost surely, 256687004 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 56687004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604344).

56687004 is an abundant number, since it is smaller than the sum of its proper divisors (100521684).

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

56687004 is a wasteful number, since it uses less digits than its factorization.

56687004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56687004 is about 7529.0772342964. The cubic root of 56687004 is about 384.1443955659.

The spelling of 56687004 in words is "fifty-six million, six hundred eighty-seven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 557 771 1028 1114 1542 1671 2228 2313 2827 3084 3342 4626 5013 5654 6127 6684 8481 9252 10026 11308 12254 16962 18381 20052 24508 25443 33924 36762 50886 55143 73524 101772 110286 143149 220572 286298 429447 572596 858894 1288341 1574639 1717788 2576682 3149278 4723917 5153364 6298556 9447834 14171751 18895668 28343502 56687004