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25857 = 3213217
BaseRepresentation
bin110010100000001
31022110200
412110001
51311412
6315413
7135246
oct62401
938420
1025857
1118477
1212b69
13ba00
1495cd
1579dc
hex6501

25857 has 18 divisors (see below), whose sum is σ = 42822. Its totient is φ = 14976.

The previous prime is 25849. The next prime is 25867. The reversal of 25857 is 75852.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 25281 = 24^2 + 159^2 .

It is not a de Polignac number, because 25857 - 23 = 25849 is a prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 25857.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25857.

It is not an unprimeable number, because it can be changed into a prime (25847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1513 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (2379).

It is a Proth number, since it is equal to 101 ⋅ 28 + 1 and 101 < 28.

225857 is an apocalyptic number.

25857 is the 102-nd heptagonal number.

It is an amenable number.

25857 is a deficient number, since it is larger than the sum of its proper divisors (16965).

25857 is a wasteful number, since it uses less digits than its factorization.

25857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 33 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 25857 is about 160.8011193991. The cubic root of 25857 is about 29.5705483780.

It can be divided in two parts, 258 and 57, that multiplied together give a triangular number (14706 = T171).

The spelling of 25857 in words is "twenty-five thousand, eight hundred fifty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2873 8619 25857