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57657 = 319219
BaseRepresentation
bin1110000100111001
32221002110
432010321
53321112
61122533
7330045
oct160471
987073
1057657
113a356
1229449
1320322
1417025
151213c
hexe139

57657 has 4 divisors (see below), whose sum is σ = 76880. Its totient is φ = 38436.

The previous prime is 57653. The next prime is 57667. The reversal of 57657 is 75675.

57657 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 not a de Polignac number, because 57657 - 22 = 57653 is a prime.

It is a D-number.

It is a Duffinian number.

57657 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57657.

It is not an unprimeable number, because it can be changed into a prime (57653) 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, 9607 + ... + 9612.

It is an arithmetic number, because the mean of its divisors is an integer number (19220).

257657 is an apocalyptic number.

It is an amenable number.

57657 is a deficient number, since it is larger than the sum of its proper divisors (19223).

57657 is a wasteful number, since it uses less digits than its factorization.

57657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19222.

The product of its digits is 7350, while the sum is 30.

The square root of 57657 is about 240.1187206363. The cubic root of 57657 is about 38.6323102804.

The spelling of 57657 in words is "fifty-seven thousand, six hundred fifty-seven".

Divisors: 1 3 19219 57657