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57360641 = 1310094373
BaseRepresentation
bin1101101011010…
…0000100000001
310222221020000012
43122310010001
5104141020031
65405234305
71264362122
oct332640401
9128836005
1057360641
112a418998
1217262995
13bb64810
147892049
155080b2b
hex36b4101

57360641 has 8 divisors (see below), whose sum is σ = 61848360. Its totient is φ = 52883712.

The previous prime is 57360617. The next prime is 57360691. The reversal of 57360641 is 14606375.

It can be written as a sum of positive squares in 4 ways, for example, as 1050625 + 56310016 = 1025^2 + 7504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57360641 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57360598 and 57360607.

It is not an unprimeable number, because it can be changed into a prime (57360691) 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, 10931 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (7731045).

Almost surely, 257360641 is an apocalyptic number.

57360641 is the 4373-rd octagonal number.

It is an amenable number.

57360641 is a deficient number, since it is larger than the sum of its proper divisors (4487719).

57360641 is a wasteful number, since it uses less digits than its factorization.

57360641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 57360641 is about 7573.6808092235. The cubic root of 57360641 is about 385.6600607226.

The spelling of 57360641 in words is "fifty-seven million, three hundred sixty thousand, six hundred forty-one".

Divisors: 1 13 1009 4373 13117 56849 4412357 57360641