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57393 = 327911
BaseRepresentation
bin1110000000110001
32220201200
432000301
53314033
61121413
7326220
oct160061
986650
1057393
113a136
1229269
132017b
1416cb7
1512013
hexe031

57393 has 12 divisors (see below), whose sum is σ = 94848. Its totient is φ = 32760.

The previous prime is 57389. The next prime is 57397. The reversal of 57393 is 39375.

57393 is a `hidden beast` number, since 573 + 93 = 666.

57393 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (57389) and next prime (57397).

It is not a de Polignac number, because 57393 - 22 = 57389 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (7904).

257393 is an apocalyptic number.

It is an amenable number.

57393 is a deficient number, since it is larger than the sum of its proper divisors (37455).

57393 is a wasteful number, since it uses less digits than its factorization.

57393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 921 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 57393 is about 239.5683618511. The cubic root of 57393 is about 38.5732568210.

It can be divided in two parts, 573 and 93, that added together give a palindrome (666).

The spelling of 57393 in words is "fifty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 63 911 2733 6377 8199 19131 57393