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57086 = 2172373
BaseRepresentation
bin1101111011111110
32220022022
431323332
53311321
61120142
7325301
oct157376
986268
1057086
1139987
1229052
131cca3
1416b38
1511dab
hexdefe

57086 has 16 divisors (see below), whose sum is σ = 95904. Its totient is φ = 25344.

The previous prime is 57077. The next prime is 57089. The reversal of 57086 is 68075.

57086 is nontrivially palindromic in base 9.

57086 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×570862 = 6517622792, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57086.

It is not an unprimeable number, because it can be changed into a prime (57089) by changing a digit.

57086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (5994).

257086 is an apocalyptic number.

57086 is a deficient number, since it is larger than the sum of its proper divisors (38818).

57086 is a wasteful number, since it uses less digits than its factorization.

57086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57086 is about 238.9267670229. The cubic root of 57086 is about 38.5043566217.

It can be divided in two parts, 570 and 86, that added together give a palindrome (656).

The spelling of 57086 in words is "fifty-seven thousand, eighty-six".

Divisors: 1 2 17 23 34 46 73 146 391 782 1241 1679 2482 3358 28543 57086