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18364672 = 28233119
BaseRepresentation
bin100011000001…
…1100100000000
31021120000121001
41012003210000
514200132142
61453341344
7312045214
oct106034400
937500531
1018364672
11a403717
126197854
133a5cc91
142620944
15192b5b7
hex1183900

18364672 has 36 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 8780288.

The previous prime is 18364667. The next prime is 18364681. The reversal of 18364672 is 27646381.

It is a super-2 number, since 2×183646722 = 674522355335168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4329 + ... + 7447.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 218364672 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 18364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

18364672 is an abundant number, since it is smaller than the sum of its proper divisors (19899008).

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

18364672 is an equidigital number, since it uses as much as digits as its factorization.

18364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3144 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 18364672 is about 4285.4021981606. The cubic root of 18364672 is about 263.8321553252.

The spelling of 18364672 in words is "eighteen million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 3119 5888 6238 12476 24952 49904 71737 99808 143474 199616 286948 399232 573896 798464 1147792 2295584 4591168 9182336 18364672