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12633252 = 2231967827
BaseRepresentation
bin110000001100…
…010010100100
3212202211120020
4300030102210
511213231002
61130435140
7212244432
oct60142244
925684506
1012633252
117149605
124292ab0
1328042c8
14196bd52
1511982bc
hexc0c4a4

12633252 has 48 divisors (see below), whose sum is σ = 31530240. Its totient is φ = 3925152.

The previous prime is 12633223. The next prime is 12633253. The reversal of 12633252 is 25233621.

It is not an unprimeable number, because it can be changed into a prime (12633253) 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, 14863 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (656880).

Almost surely, 212633252 is an apocalyptic number.

12633252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12633252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765120).

12633252 is an abundant number, since it is smaller than the sum of its proper divisors (18896988).

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

12633252 is a wasteful number, since it uses less digits than its factorization.

12633252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 12633252 is about 3554.3286285880. The cubic root of 12633252 is about 232.9011965422.

Adding to 12633252 its reverse (25233621), we get a palindrome (37866873).

The spelling of 12633252 in words is "twelve million, six hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 827 1273 1654 2481 2546 3308 3819 4962 5092 7638 9924 15276 15713 31426 47139 55409 62852 94278 110818 166227 188556 221636 332454 664908 1052771 2105542 3158313 4211084 6316626 12633252