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25248 = 253263
BaseRepresentation
bin110001010100000
31021122010
412022200
51301443
6312520
7133416
oct61240
937563
1025248
1117a73
1212740
13b652
1492b6
157733
hex62a0

25248 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 8384.

The previous prime is 25247. The next prime is 25253. The reversal of 25248 is 84252.

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

It is a nialpdrome in base 13 and base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (25243) 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, 36 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

225248 is an apocalyptic number.

It is an amenable number.

25248 is an abundant number, since it is smaller than the sum of its proper divisors (41280).

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 (33264).

25248 is a wasteful number, since it uses less digits than its factorization.

25248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

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

The square root of 25248 is about 158.8961925283. The cubic root of 25248 is about 29.3365469390.

It can be divided in two parts, 252 and 48, that added together give a triangular number (300 = T24).

The spelling of 25248 in words is "twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 25248