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25264116 = 22332231049
BaseRepresentation
bin110000001011…
…1111111110100
31202112112212000
41200113333310
522431422431
62301255300
7424512213
oct140277764
952475760
1025264116
1113296339
128564530
1353074a7
1434d907a
1523409e6
hex1817ff4

25264116 has 48 divisors (see below), whose sum is σ = 65856000. Its totient is φ = 8375616.

The previous prime is 25264079. The next prime is 25264117. The reversal of 25264116 is 61146252.

25264116 is a `hidden beast` number, since 2 + 5 + 2 + 641 + 16 = 666.

It is a super-2 number, since 2×252641162 = 1276551114522912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 25264116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25264117) 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, 23560 + ... + 24608.

It is an arithmetic number, because the mean of its divisors is an integer number (1372000).

Almost surely, 225264116 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 25264116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32928000).

25264116 is an abundant number, since it is smaller than the sum of its proper divisors (40591884).

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

25264116 is a wasteful number, since it uses less digits than its factorization.

25264116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 25264116 is about 5026.3422088035. The cubic root of 25264116 is about 293.4278752878.

The spelling of 25264116 in words is "twenty-five million, two hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1049 1338 2007 2098 2676 3147 4014 4196 6021 6294 8028 9441 12042 12588 18882 24084 28323 37764 56646 113292 233927 467854 701781 935708 1403562 2105343 2807124 4210686 6316029 8421372 12632058 25264116