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26257 = 711231
BaseRepresentation
bin110011010010001
31100000111
412122101
51320012
6321321
7136360
oct63221
940014
1026257
1118800
1213241
13bc4a
1497d7
157ba7
hex6691

26257 has 12 divisors (see below), whose sum is σ = 34048. Its totient is φ = 19800.

The previous prime is 26251. The next prime is 26261. The reversal of 26257 is 75262.

It is not a de Polignac number, because 26257 - 23 = 26249 is a prime.

Its product of digits (840) is a multiple of the sum of its prime factors (60).

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (26251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832 + ... + 862.

226257 is an apocalyptic number.

It is an amenable number.

26257 is a deficient number, since it is larger than the sum of its proper divisors (7791).

26257 is a wasteful number, since it uses less digits than its factorization.

26257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 26257 is about 162.0401184892. The cubic root of 26257 is about 29.7222512721.

The spelling of 26257 in words is "twenty-six thousand, two hundred fifty-seven".

Divisors: 1 7 11 31 77 121 217 341 847 2387 3751 26257