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12382832 = 2471119232
BaseRepresentation
bin101111001111…
…001001110000
3212022010001102
4233033021300
511132222312
61121223532
7210152360
oct57171160
925263042
1012382832
116a98450
124191ba8
132747327
1419049a0
151148ec2
hexbcf270

12382832 has 120 divisors (see below), whose sum is σ = 32914560. Its totient is φ = 4371840.

The previous prime is 12382823. The next prime is 12382841. The reversal of 12382832 is 23828321.

It is an interprime number because it is at equal distance from previous prime (12382823) and next prime (12382841).

It is a junction number, because it is equal to n+sod(n) for n = 12382795 and 12382804.

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 23 ways as a sum of consecutive naturals, for example, 538373 + ... + 538395.

It is an arithmetic number, because the mean of its divisors is an integer number (274288).

Almost surely, 212382832 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 12382832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457280).

12382832 is an abundant number, since it is smaller than the sum of its proper divisors (20531728).

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

12382832 is a wasteful number, since it uses less digits than its factorization.

12382832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 12382832 is about 3518.9248357986. The cubic root of 12382832 is about 231.3520365876.

The spelling of 12382832 in words is "twelve million, three hundred eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 23 28 38 44 46 56 76 77 88 92 112 133 152 154 161 176 184 209 253 266 304 308 322 368 418 437 506 529 532 616 644 836 874 1012 1058 1064 1232 1288 1463 1672 1748 1771 2024 2116 2128 2576 2926 3059 3344 3496 3542 3703 4048 4232 4807 5819 5852 6118 6992 7084 7406 8464 9614 10051 11638 11704 12236 14168 14812 19228 20102 23276 23408 24472 28336 29624 33649 38456 40204 40733 46552 48944 59248 67298 70357 76912 80408 81466 93104 110561 134596 140714 160816 162932 221122 269192 281428 325864 442244 538384 562856 651728 773927 884488 1125712 1547854 1768976 3095708 6191416 12382832