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25252968 = 23313292791
BaseRepresentation
bin110000001010…
…1010001101000
31202111222120010
41200111101220
522431043333
62301131520
7424434546
oct140252150
952458503
1025252968
1113288a24
128559ba0
1353023b0
1434d4d96
15233c563
hex1815468

25252968 has 64 divisors (see below), whose sum is σ = 70358400. Its totient is φ = 7499520.

The previous prime is 25252961. The next prime is 25252991. The reversal of 25252968 is 86925252.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (25252961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7653 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (1099350).

Almost surely, 225252968 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 25252968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35179200).

25252968 is an abundant number, since it is smaller than the sum of its proper divisors (45105432).

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

25252968 is a wasteful number, since it uses less digits than its factorization.

25252968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 25252968 is about 5025.2331289205. The cubic root of 25252968 is about 293.3847097797.

The spelling of 25252968 in words is "twenty-five million, two hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 2791 3016 4524 5582 8373 9048 11164 16746 22328 33492 36283 66984 72566 80939 108849 145132 161878 217698 242817 290264 323756 435396 485634 647512 870792 971268 1052207 1942536 2104414 3156621 4208828 6313242 8417656 12626484 25252968