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12382884 = 2232292409
BaseRepresentation
bin101111001111…
…001010100100
3212022010010100
4233033022210
511132223014
61121224100
7210152463
oct57171244
925263110
1012382884
116a98498
124192030
132747367
1419049da
151149009
hexbcf2a4

12382884 has 54 divisors (see below), whose sum is σ = 32497010. Its totient is φ = 3975552.

The previous prime is 12382859. The next prime is 12382891. The reversal of 12382884 is 48828321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4665600 + 7717284 = 2160^2 + 2778^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 30072 + ... + 30480.

Almost surely, 212382884 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 12382884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248505).

12382884 is an abundant number, since it is smaller than the sum of its proper divisors (20114126).

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

12382884 is a wasteful number, since it uses less digits than its factorization.

12382884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 443 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12382884 is about 3518.9322244113. The cubic root of 12382884 is about 231.3523604308.

The spelling of 12382884 in words is "twelve million, three hundred eighty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 409 522 818 841 1044 1227 1636 1682 2454 2523 3364 3681 4908 5046 7362 7569 10092 11861 14724 15138 23722 30276 35583 47444 71166 106749 142332 213498 343969 426996 687938 1031907 1375876 2063814 3095721 4127628 6191442 12382884