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57002561 = 7117310141
BaseRepresentation
bin1101100101110…
…0101001000001
310222021000210222
43121130221001
5104043040221
65353432425
71261341140
oct331345101
9128230728
1057002561
112a1a3960
121710b715
13ba6a835
1477db757
15500e9ab
hex365ca41

57002561 has 16 divisors (see below), whose sum is σ = 72048768. Its totient is φ = 43804800.

The previous prime is 57002557. The next prime is 57002573. The reversal of 57002561 is 16520075.

It is a cyclic number.

It is not a de Polignac number, because 57002561 - 22 = 57002557 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 57002561.

It is not an unprimeable number, because it can be changed into a prime (57002501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (4503048).

Almost surely, 257002561 is an apocalyptic number.

It is an amenable number.

57002561 is a deficient number, since it is larger than the sum of its proper divisors (15046207).

57002561 is a wasteful number, since it uses less digits than its factorization.

57002561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 57002561 is about 7550.0040397340. The cubic root of 57002561 is about 384.8558767907.

The spelling of 57002561 in words is "fifty-seven million, two thousand, five hundred sixty-one".

Divisors: 1 7 11 73 77 511 803 5621 10141 70987 111551 740293 780857 5182051 8143223 57002561