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57093 = 319031
BaseRepresentation
bin1101111100000101
32220022120
431330011
53311333
61120153
7325311
oct157405
986276
1057093
1139993
1229059
131ccaa
1416b41
1511db3
hexdf05

57093 has 4 divisors (see below), whose sum is σ = 76128. Its totient is φ = 38060.

The previous prime is 57089. The next prime is 57097. The reversal of 57093 is 39075.

57093 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (57089) and next prime (57097).

It is a cyclic number.

It is not a de Polignac number, because 57093 - 22 = 57089 is a prime.

It is a super-2 number, since 2×570932 = 6519221298, which contains 22 as substring.

It is a D-number.

It is a zygodrome in base 5.

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 57093.

It is not an unprimeable number, because it can be changed into a prime (57097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9513 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (19032).

257093 is an apocalyptic number.

It is an amenable number.

57093 is a deficient number, since it is larger than the sum of its proper divisors (19035).

57093 is a wasteful number, since it uses less digits than its factorization.

57093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19034.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 57093 is about 238.9414154139. The cubic root of 57093 is about 38.5059303846.

The spelling of 57093 in words is "fifty-seven thousand, ninety-three".

Divisors: 1 3 19031 57093