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12888528 = 2432947197
BaseRepresentation
bin110001001010…
…100111010000
3220020210201220
4301022213100
511244413103
61140125040
7214356612
oct61124720
926223656
1012888528
117303384
124396780
132893563
1419d6db2
1511e8c53
hexc4a9d0

12888528 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4039168.

The previous prime is 12888527. The next prime is 12888539. The reversal of 12888528 is 82588821.

It is a super-2 number, since 2×128885282 = 332228308013568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12888528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888521) 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, 65326 + ... + 65522.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 212888528 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 12888528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12888528 is an abundant number, since it is smaller than the sum of its proper divisors (22466352).

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

12888528 is a wasteful number, since it uses less digits than its factorization.

12888528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 81920, while the sum is 42.

The square root of 12888528 is about 3590.0596095330. The cubic root of 12888528 is about 234.4594668707.

The spelling of 12888528 in words is "twelve million, eight hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 197 232 282 348 376 394 464 564 591 696 752 788 1128 1182 1363 1392 1576 2256 2364 2726 3152 4089 4728 5452 5713 8178 9259 9456 10904 11426 16356 17139 18518 21808 22852 27777 32712 34278 37036 45704 55554 65424 68556 74072 91408 111108 137112 148144 222216 268511 274224 444432 537022 805533 1074044 1611066 2148088 3222132 4296176 6444264 12888528