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56542660 = 22537109701
BaseRepresentation
bin1101011110110…
…0010111000100
310221101122221121
43113230113010
5103433331120
65335523324
71254414256
oct327542704
9127348847
1056542660
1129a0a379
1216b29544
13b9393c5
14771bcd6
154e6d5aa
hex35ec5c4

56542660 has 48 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 21772800.

The previous prime is 56542643. The next prime is 56542691. The reversal of 56542660 is 6624565.

It can be written as a sum of positive squares in 8 ways, for example, as 11168964 + 45373696 = 3342^2 + 6736^2 .

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, 80310 + ... + 81010.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 256542660 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 56542660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621560).

56542660 is an abundant number, since it is smaller than the sum of its proper divisors (66700460).

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

56542660 is a wasteful number, since it uses less digits than its factorization.

56542660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 56542660 is about 7519.4853547301. The cubic root of 56542660 is about 383.8180652184.

The spelling of 56542660 in words is "fifty-six million, five hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 701 740 1090 1402 2180 2804 3505 4033 7010 8066 14020 16132 20165 25937 40330 51874 76409 80660 103748 129685 152818 259370 305636 382045 518740 764090 1528180 2827133 5654266 11308532 14135665 28271330 56542660