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12528252 = 223211171861
BaseRepresentation
bin101111110010…
…101001111100
3212120111112100
4233302221330
511201401002
61124305100
7211326342
oct57625174
925514470
1012528252
117087730
124242190
132798589
141941992
15117711c
hexbf2a7c

12528252 has 72 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 3571200.

The previous prime is 12528233. The next prime is 12528259. The reversal of 12528252 is 25282521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5802 + ... + 7662.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 212528252 is an apocalyptic number.

12528252 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 12528252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

12528252 is an abundant number, since it is smaller than the sum of its proper divisors (24071220).

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

12528252 is a wasteful number, since it uses less digits than its factorization.

12528252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1894 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 12528252 is about 3539.5270870556. The cubic root of 12528252 is about 232.2541556764.

The spelling of 12528252 in words is "twelve million, five hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 1861 2244 3366 3722 5583 6732 7444 11166 16749 20471 22332 31637 33498 40942 61413 63274 66996 81884 94911 122826 126548 184239 189822 245652 284733 348007 368478 379644 569466 696014 736956 1044021 1138932 1392028 2088042 3132063 4176084 6264126 12528252