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25824 = 253269
BaseRepresentation
bin110010011100000
31022102110
412103200
51311244
6315320
7135201
oct62340
938373
1025824
1118447
1212b40
13b9a6
1495a8
1579b9
hex64e0

25824 has 24 divisors (see below), whose sum is σ = 68040. Its totient is φ = 8576.

The previous prime is 25819. The next prime is 25841. The reversal of 25824 is 42852.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25824.

It is a congruent number.

It is an unprimeable number.

25824 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 3 ways as a sum of consecutive naturals, for example, 39 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

225824 is an apocalyptic number.

25824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25824 is an abundant number, since it is smaller than the sum of its proper divisors (42216).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020).

25824 is a wasteful number, since it uses less digits than its factorization.

25824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 25824 is about 160.6984754128. The cubic root of 25824 is about 29.5579632170.

It can be divided in two parts, 258 and 24, that added together give a palindrome (282).

The spelling of 25824 in words is "twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 25824