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25893 = 337137
BaseRepresentation
bin110010100100101
31022112000
412110211
51312033
6315513
7135330
oct62445
938460
1025893
11184aa
1212b99
13ba2a
149617
157a13
hex6525

25893 has 16 divisors (see below), whose sum is σ = 44160. Its totient is φ = 14688.

The previous prime is 25889. The next prime is 25903. The reversal of 25893 is 39852.

25893 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 25893 - 22 = 25889 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

25893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25873) 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 15 ways as a sum of consecutive naturals, for example, 121 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (2760).

225893 is an apocalyptic number.

It is an amenable number.

25893 is a deficient number, since it is larger than the sum of its proper divisors (18267).

25893 is a wasteful number, since it uses less digits than its factorization.

25893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 25893 is about 160.9130199828. The cubic root of 25893 is about 29.5842654382.

25893 divided by its sum of digits (27) gives a palindrome (959).

It can be divided in two parts, 258 and 93, that added together give a triangular number (351 = T26).

The spelling of 25893 in words is "twenty-five thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 137 189 411 959 1233 2877 3699 8631 25893