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12888828 = 2233131911
BaseRepresentation
bin110001001010…
…101011111100
3220020211011000
4301022223330
511244420303
61140130300
7214360521
oct61125374
926224130
1012888828
117303627
124396990
132893734
1419d7148
1511e8da3
hexc4aafc

12888828 has 48 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 4258800.

The previous prime is 12888803. The next prime is 12888851. The reversal of 12888828 is 82888821.

It is a happy number.

It is a super-2 number, since 2×128888282 = 332243774427168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13693 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 212888828 is an apocalyptic number.

12888828 is a gapful number since it is divisible by the number (18) 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 12888828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

12888828 is an abundant number, since it is smaller than the sum of its proper divisors (20818692).

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

12888828 is a wasteful number, since it uses less digits than its factorization.

12888828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The square root of 12888828 is about 3590.1013913259. The cubic root of 12888828 is about 234.4612859896.

The spelling of 12888828 in words is "twelve million, eight hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 911 1179 1572 1822 2358 2733 3537 3644 4716 5466 7074 8199 10932 14148 16398 24597 32796 49194 98388 119341 238682 358023 477364 716046 1074069 1432092 2148138 3222207 4296276 6444414 12888828