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25992 = 2332192
BaseRepresentation
bin110010110001000
31022122200
412112020
51312432
6320200
7135531
oct62610
938580
1025992
111858a
1213060
13baa5
149688
157a7c
hex6588

25992 has 36 divisors (see below), whose sum is σ = 74295. Its totient is φ = 8208.

The previous prime is 25981. The next prime is 25997. The reversal of 25992 is 29952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25992 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 12996 = 114^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=114.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (25997) by changing a digit.

25992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1359 + ... + 1377.

225992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25992

25992 is an abundant number, since it is smaller than the sum of its proper divisors (48303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25992 is a wasteful number, since it uses less digits than its factorization.

25992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 24 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 25992 is about 161.2203461105. The cubic root of 25992 is about 29.6219219149.

It can be divided in two parts, 2599 and 2, that added together give a square (2601 = 512).

The spelling of 25992 in words is "twenty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992