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18438912 = 283253151
BaseRepresentation
bin100011001010…
…1101100000000
31021200210102200
41012111230000
514210021122
61455113200
7312504522
oct106255400
937623380
1018438912
11a454478
126212800
133a879cb
14263da12
1519435ac
hex1195b00

18438912 has 108 divisors (see below), whose sum is σ = 54525744. Its totient is φ = 5990400.

The previous prime is 18438907. The next prime is 18438919. The reversal of 18438912 is 21983481.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18438919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122037 + ... + 122187.

It is an arithmetic number, because the mean of its divisors is an integer number (504868).

Almost surely, 218438912 is an apocalyptic number.

18438912 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 18438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262872).

18438912 is an abundant number, since it is smaller than the sum of its proper divisors (36086832).

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

18438912 is a wasteful number, since it uses less digits than its factorization.

18438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 18438912 is about 4294.0554258183. The cubic root of 18438912 is about 264.1871950575.

The spelling of 18438912 in words is "eighteen million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 151 159 192 212 256 288 302 318 384 424 453 477 576 604 636 768 848 906 954 1152 1208 1272 1359 1696 1812 1908 2304 2416 2544 2718 3392 3624 3816 4832 5088 5436 6784 7248 7632 8003 9664 10176 10872 13568 14496 15264 16006 19328 20352 21744 24009 28992 30528 32012 38656 40704 43488 48018 57984 61056 64024 72027 86976 96036 115968 122112 128048 144054 173952 192072 256096 288108 347904 384144 512192 576216 768288 1024384 1152432 1536576 2048768 2304864 3073152 4609728 6146304 9219456 18438912