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12887352 = 2332712521
BaseRepresentation
bin110001001010…
…010100111000
3220020202010100
4301022110320
511244343402
61140115400
7214353312
oct61122470
926222110
1012887352
117302505
124395b60
132892b6a
1419d67b2
1511e871c
hexc4a538

12887352 has 48 divisors (see below), whose sum is σ = 35408880. Its totient is φ = 4233600.

The previous prime is 12887341. The next prime is 12887389. The reversal of 12887352 is 25378821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3852 + ... + 6372.

It is an arithmetic number, because the mean of its divisors is an integer number (737685).

Almost surely, 212887352 is an apocalyptic number.

12887352 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 12887352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704440).

12887352 is an abundant number, since it is smaller than the sum of its proper divisors (22521528).

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

12887352 is a wasteful number, since it uses less digits than its factorization.

12887352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2597 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12887352 is about 3589.8958202154. The cubic root of 12887352 is about 234.4523356524.

It can be divided in two parts, 12 and 887352, that added together give a square (887364 = 9422).

The spelling of 12887352 in words is "twelve million, eight hundred eighty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2521 2556 5042 5112 7563 10084 15126 20168 22689 30252 45378 60504 90756 178991 181512 357982 536973 715964 1073946 1431928 1610919 2147892 3221838 4295784 6443676 12887352