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25368 = 2337151

25368 has 32 divisors (see below), whose sum is σ = 72960. Its totient is φ = 7200.

The previous prime is 25367. The next prime is 25373. The reversal of 25368 is 86352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25368.

It is not an unprimeable number, because it can be changed into a prime (25367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

225368 is an apocalyptic number.

25368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480).

25368 is an abundant number, since it is smaller than the sum of its proper divisors (47592).

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

25368 is a wasteful number, since it uses less digits than its factorization.

25368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 25368 is about 159.2733499365. The cubic root of 25368 is about 29.3829509185.

It can be divided in two parts, 25 and 368, that added together give a palindrome (393).

The spelling of 25368 in words is "twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 906 1057 1208 1812 2114 3171 3624 4228 6342 8456 12684 25368