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25368672 = 253725393
BaseRepresentation
bin110000011000…
…1100001100000
31202201212021110
41200301201200
522443244142
62303423320
7425426100
oct140614140
952655243
1025368672
111335794a
1285b4b40
135342c64
143525200
15236199c
hex1831860

25368672 has 72 divisors (see below), whose sum is σ = 77479416. Its totient is φ = 7246848.

The previous prime is 25368671. The next prime is 25368677. The reversal of 25368672 is 27686352.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25368672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25368671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (1076103).

Almost surely, 225368672 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 25368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38739708).

25368672 is an abundant number, since it is smaller than the sum of its proper divisors (52110744).

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

25368672 is a wasteful number, since it uses less digits than its factorization.

25368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5405 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 25368672 is about 5036.7322740046. The cubic root of 25368672 is about 293.8321036832.

The spelling of 25368672 in words is "twenty-five million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 5393 10786 16179 21572 32358 37751 43144 64716 75502 86288 113253 129432 151004 172576 226506 258864 264257 302008 453012 517728 528514 604016 792771 906024 1057028 1208032 1585542 1812048 2114056 3171084 3624096 4228112 6342168 8456224 12684336 25368672