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25296 = 2431731
BaseRepresentation
bin110001011010000
31021200220
412023100
51302141
6313040
7133515
oct61320
937626
1025296
1118007
1212780
13b68b
14930c
157766
hex62d0

25296 has 40 divisors (see below), whose sum is σ = 71424. Its totient is φ = 7680.

The previous prime is 25261. The next prime is 25301. The reversal of 25296 is 69252.

It is a super-4 number, since 4×252964 = 1637824644440653824, which contains 4444 as substring.

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

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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 25296.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 831.

225296 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 25296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

25296 is an abundant number, since it is smaller than the sum of its proper divisors (46128).

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

25296 is a wasteful number, since it uses less digits than its factorization.

25296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 25296 is about 159.0471628166. The cubic root of 25296 is about 29.3551261377.

Subtracting 25296 from its reverse (69252), we obtain a triangular number (43956 = T296).

The spelling of 25296 in words is "twenty-five thousand, two hundred ninety-six".