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25284 = 2237243
BaseRepresentation
bin110001011000100
31021200110
412023010
51302114
6313020
7133500
oct61304
937613
1025284
1117aa6
1212770
13b67c
149300
157759
hex62c4

25284 has 36 divisors (see below), whose sum is σ = 70224. Its totient is φ = 7056.

The previous prime is 25261. The next prime is 25301. The reversal of 25284 is 48252.

Added to its reverse (48252) it gives a triangular number (73536 = T383).

It is a Harshad number since it is a multiple of its sum of digits (21).

25284 is a Rhonda number in base 10.

Its product of digits (640) is a multiple of the sum of its prime factors (64).

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 25284.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 609.

225284 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 25284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112).

25284 is an abundant number, since it is smaller than the sum of its proper divisors (44940).

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

25284 is a wasteful number, since it uses less digits than its factorization.

25284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

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

The square root of 25284 is about 159.0094336824. The cubic root of 25284 is about 29.3504835430.

Adding to 25284 its reverse (48252), we get a triangular number (73536 = T383).

The spelling of 25284 in words is "twenty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 8428 12642 25284