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25201264 = 2411312149
BaseRepresentation
bin110000000100…
…0101001110000
31202102100122011
41200020221300
522422420024
62300052304
7424131034
oct140105160
952370564
1025201264
11132530a0
128534094
1352b49ba
1434c01c4
15232c094
hex1808a70

25201264 has 60 divisors (see below), whose sum is σ = 55409400. Its totient is φ = 11011200.

The previous prime is 25201249. The next prime is 25201283. The reversal of 25201264 is 46210252.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 169062 + ... + 169210.

It is an arithmetic number, because the mean of its divisors is an integer number (923490).

Almost surely, 225201264 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 25201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704700).

25201264 is an abundant number, since it is smaller than the sum of its proper divisors (30208136).

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

25201264 is a wasteful number, since it uses less digits than its factorization.

25201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 25201264 is about 5020.0860550393. The cubic root of 25201264 is about 293.1843435299.

The spelling of 25201264 in words is "twenty-five million, two hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 149 176 248 298 341 496 596 682 961 1192 1364 1639 1922 2384 2728 3278 3844 4619 5456 6556 7688 9238 10571 13112 15376 18476 21142 26224 36952 42284 50809 73904 84568 101618 143189 169136 203236 286378 406472 572756 812944 1145512 1575079 2291024 3150158 6300316 12600632 25201264