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18982912 = 211132331
BaseRepresentation
bin100100001101…
…0100000000000
31022201102122211
41020122200000
514324423122
61514511504
7320231524
oct110324000
938642584
1018982912
11a796163
126435594
133c184c0
142741d84
1519ee877
hex121a800

18982912 has 96 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 8110080.

The previous prime is 18982883. The next prime is 18982913. The reversal of 18982912 is 21928981.

It is not an unprimeable number, because it can be changed into a prime (18982913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612337 + ... + 612367.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 218982912 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 18982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

18982912 is an abundant number, since it is smaller than the sum of its proper divisors (25046528).

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

18982912 is a wasteful number, since it uses less digits than its factorization.

18982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The square root of 18982912 is about 4356.9383745929. The cubic root of 18982912 is about 266.7601450057.

The spelling of 18982912 in words is "eighteen million, nine hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 64 92 104 124 128 184 208 248 256 299 368 403 416 496 512 598 713 736 806 832 992 1024 1196 1426 1472 1612 1664 1984 2048 2392 2852 2944 3224 3328 3968 4784 5704 5888 6448 6656 7936 9269 9568 11408 11776 12896 13312 15872 18538 19136 22816 23552 25792 26624 31744 37076 38272 45632 47104 51584 63488 74152 76544 91264 103168 148304 153088 182528 206336 296608 306176 365056 412672 593216 612352 730112 825344 1186432 1460224 2372864 4745728 9491456 18982912