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56661504 = 29337997
BaseRepresentation
bin1101100000100…
…1011000000000
310221121200222020
43120021120000
5104001132004
65342241440
71255420614
oct330113000
9127550866
1056661504
1129a90699
1216b86280
13b97b523
14774d344
154e938d9
hex3609600

56661504 has 80 divisors (see below), whose sum is σ = 155185008. Its totient is φ = 18358272.

The previous prime is 56661503. The next prime is 56661511. The reversal of 56661504 is 40516665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56661503) 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, 56334 + ... + 57330.

Almost surely, 256661504 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 56661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77592504).

56661504 is an abundant number, since it is smaller than the sum of its proper divisors (98523504).

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

56661504 is an equidigital number, since it uses as much as digits as its factorization.

56661504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56661504 is about 7527.3836091965. The cubic root of 56661504 is about 384.0867859400.

The spelling of 56661504 in words is "fifty-six million, six hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 997 1184 1536 1776 1994 2368 2991 3552 3988 4736 5982 7104 7976 9472 11964 14208 15952 18944 23928 28416 31904 36889 47856 56832 63808 73778 95712 110667 127616 147556 191424 221334 255232 295112 382848 442668 510464 590224 765696 885336 1180448 1531392 1770672 2360896 3541344 4721792 7082688 9443584 14165376 18887168 28330752 56661504