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57083961 = 31119181503
BaseRepresentation
bin1101100111000…
…0100000111001
310222102011110210
43121300200321
5104103141321
65355301333
71262130354
oct331604071
9128364423
1057083961
112a24a030
121714a849
13ba988bc
14781d29b
155028b76
hex3670839

57083961 has 32 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 32529600.

The previous prime is 57083951. The next prime is 57083969. The reversal of 57083961 is 16938075.

It is not a de Polignac number, because 57083961 - 29 = 57083449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57083969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113236 + ... + 113738.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 257083961 is an apocalyptic number.

It is an amenable number.

57083961 is a deficient number, since it is larger than the sum of its proper divisors (30974919).

57083961 is a wasteful number, since it uses less digits than its factorization.

57083961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 57083961 is about 7555.3928422022. The cubic root of 57083961 is about 385.0389818290.

It can be divided in two parts, 5708 and 3961, that added together give a palindrome (9669).

The spelling of 57083961 in words is "fifty-seven million, eighty-three thousand, nine hundred sixty-one".

Divisors: 1 3 11 19 33 57 181 209 503 543 627 1509 1991 3439 5533 5973 9557 10317 16599 28671 37829 91043 105127 113487 273129 315381 1001473 1729817 3004419 5189451 19027987 57083961