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25508 = 227911
BaseRepresentation
bin110001110100100
31021222202
412032210
51304013
6314032
7134240
oct61644
937882
1025508
111818a
1212918
13b7c2
149420
157858
hex63a4

25508 has 12 divisors (see below), whose sum is σ = 51072. Its totient is φ = 10920.

The previous prime is 25471. The next prime is 25523. The reversal of 25508 is 80552.

25508 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 25508.

It is an unprimeable number.

25508 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 428 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

225508 is an apocalyptic number.

25508 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

25508 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (25536).

25508 is a wasteful number, since it uses less digits than its factorization.

25508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 25508 is about 159.7122412340. The cubic root of 25508 is about 29.4369043098.

The spelling of 25508 in words is "twenty-five thousand, five hundred eight".

Divisors: 1 2 4 7 14 28 911 1822 3644 6377 12754 25508