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56659840 = 275223397
BaseRepresentation
bin1101100000100…
…0111110000000
310221121121200121
43120020332000
5104001103330
65342230024
71255413016
oct330107600
9127547617
1056659840
1129a8a416
1216b85314
13b97a843
14774c8b6
154e9317a
hex3608f80

56659840 has 64 divisors (see below), whose sum is σ = 136402560. Its totient is φ = 22505472.

The previous prime is 56659831. The next prime is 56659873. The reversal of 56659840 is 4895665.

It is a tau number, because it is divible by the number of its divisors (64).

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, 142522 + ... + 142918.

It is an arithmetic number, because the mean of its divisors is an integer number (2131290).

Almost surely, 256659840 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 56659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68201280).

56659840 is an abundant number, since it is smaller than the sum of its proper divisors (79742720).

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

56659840 is a wasteful number, since it uses less digits than its factorization.

56659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 56659840 is about 7527.2730786122. The cubic root of 56659840 is about 384.0830260288.

It can be divided in two parts, 566 and 59840, that added together give a palindrome (60406).

The spelling of 56659840 in words is "fifty-six million, six hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 320 397 446 640 794 892 1115 1588 1784 1985 2230 3176 3568 3970 4460 6352 7136 7940 8920 12704 14272 15880 17840 25408 28544 31760 35680 50816 63520 71360 88531 127040 142720 177062 254080 354124 442655 708248 885310 1416496 1770620 2832992 3541240 5665984 7082480 11331968 14164960 28329920 56659840