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12438832 = 2471747139
BaseRepresentation
bin101111011100…
…110100110000
3212101221212111
4233130310300
511141020312
61122335104
7210504550
oct57346460
925357774
1012438832
11702652a
1241ba494
132766973
14191b160
15115a8a7
hexbdcd30

12438832 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4875264.

The previous prime is 12438827. The next prime is 12438851. The reversal of 12438832 is 23883421.

It is a junction number, because it is equal to n+sod(n) for n = 12438794 and 12438803.

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, 89419 + ... + 89557.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212438832 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 12438832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12438832 is an abundant number, since it is smaller than the sum of its proper divisors (17559248).

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

12438832 is a wasteful number, since it uses less digits than its factorization.

12438832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 12438832 is about 3526.8728358136. The cubic root of 12438832 is about 231.7002669091.

The spelling of 12438832 in words is "twelve million, four hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 47 56 68 94 112 119 136 139 188 238 272 278 329 376 476 556 658 752 799 952 973 1112 1316 1598 1904 1946 2224 2363 2632 3196 3892 4726 5264 5593 6392 6533 7784 9452 11186 12784 13066 15568 16541 18904 22372 26132 33082 37808 44744 45731 52264 66164 89488 91462 104528 111061 132328 182924 222122 264656 365848 444244 731696 777427 888488 1554854 1776976 3109708 6219416 12438832