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12663252 = 22327311621
BaseRepresentation
bin110000010011…
…100111010100
3212211100201100
4300103213110
511220211002
61131230100
7212431050
oct60234724
925740640
1012663252
11716a0a8
1242a8330
132814b64
141978c60
1511a211c
hexc139d4

12663252 has 72 divisors (see below), whose sum is σ = 37786112. Its totient is φ = 3499200.

The previous prime is 12663251. The next prime is 12663263. The reversal of 12663252 is 25236621.

12663252 is a `hidden beast` number, since 1 + 26 + 632 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7002 + ... + 8622.

Almost surely, 212663252 is an apocalyptic number.

12663252 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 12663252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18893056).

12663252 is an abundant number, since it is smaller than the sum of its proper divisors (25122860).

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

12663252 is a wasteful number, since it uses less digits than its factorization.

12663252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1664 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 12663252 is about 3558.5463324228. The cubic root of 12663252 is about 233.0854065015.

Adding to 12663252 its reverse (25236621), we get a palindrome (37899873).

The spelling of 12663252 in words is "twelve million, six hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1621 1953 2604 3242 3906 4863 6484 7812 9726 11347 14589 19452 22694 29178 34041 45388 50251 58356 68082 100502 102123 136164 150753 201004 204246 301506 351757 408492 452259 603012 703514 904518 1055271 1407028 1809036 2110542 3165813 4221084 6331626 12663252