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25376 = 251361
BaseRepresentation
bin110001100100000
31021210212
412030200
51303001
6313252
7133661
oct61440
937725
1025376
111807a
1212828
13b720
149368
1577bb
hex6320

25376 has 24 divisors (see below), whose sum is σ = 54684. Its totient is φ = 11520.

The previous prime is 25373. The next prime is 25391. The reversal of 25376 is 67352.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 5776 = 140^2 + 76^2 .

Its product of digits (1260) is a multiple of the sum of its prime factors (84).

It is a plaindrome in base 15.

It is a nialpdrome in base 13 and base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (25373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 386 + ... + 446.

225376 is an apocalyptic number.

25376 is a gapful number since it is divisible by the number (26) 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 25376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342).

25376 is an abundant number, since it is smaller than the sum of its proper divisors (29308).

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

25376 is a wasteful number, since it uses less digits than its factorization.

25376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 25376 is about 159.2984620139. The cubic root of 25376 is about 29.3860393094.

The spelling of 25376 in words is "twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376