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56705568 = 253797477
BaseRepresentation
bin1101100001010…
…0001000100000
310221200221102020
43120110020200
5104004034233
65343221440
71255663233
oct330241040
9127627366
1056705568
112a010807
1216ba7880
13b9955ba
14776141a
154ea19b3
hex3614220

56705568 has 48 divisors (see below), whose sum is σ = 150756480. Its totient is φ = 18660096.

The previous prime is 56705543. The next prime is 56705569. The reversal of 56705568 is 86550765.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (56705569) 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, 3846 + ... + 11322.

It is an arithmetic number, because the mean of its divisors is an integer number (3140760).

Almost surely, 256705568 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 56705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75378240).

56705568 is an abundant number, since it is smaller than the sum of its proper divisors (94050912).

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

56705568 is a wasteful number, since it uses less digits than its factorization.

56705568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 56705568 is about 7530.3099537801. The cubic root of 56705568 is about 384.1863245075.

The spelling of 56705568 in words is "fifty-six million, seven hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7477 7584 14954 22431 29908 44862 59816 89724 119632 179448 239264 358896 590683 717792 1181366 1772049 2362732 3544098 4725464 7088196 9450928 14176392 18901856 28352784 56705568