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57991131 = 32111734457
BaseRepresentation
bin1101110100110…
…1111111011011
311001010020212200
43131031333123
5104321204011
65430541243
71302626232
oct335157733
9131106780
1057991131
112a809660
1217507823
13c0257a3
1479b7b19
155157856
hex374dfdb

57991131 has 24 divisors (see below), whose sum is σ = 96758064. Its totient is φ = 33077760.

The previous prime is 57991123. The next prime is 57991147. The reversal of 57991131 is 13119975.

It is not a de Polignac number, because 57991131 - 23 = 57991123 is a prime.

It is a super-2 number, since 2×579911312 = 6725942549318322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57991181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15546 + ... + 18911.

It is an arithmetic number, because the mean of its divisors is an integer number (4031586).

Almost surely, 257991131 is an apocalyptic number.

57991131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

57991131 is a deficient number, since it is larger than the sum of its proper divisors (38766933).

57991131 is a wasteful number, since it uses less digits than its factorization.

57991131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34491 (or 34488 counting only the distinct ones).

The product of its digits is 8505, while the sum is 36.

The square root of 57991131 is about 7615.1908052261. The cubic root of 57991131 is about 387.0679327094.

The spelling of 57991131 in words is "fifty-seven million, nine hundred ninety-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 34457 103371 310113 379027 585769 1137081 1757307 3411243 5271921 6443459 19330377 57991131