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18332272 = 247267349
BaseRepresentation
bin100010111101…
…1101001110000
31021111101011001
41011323221300
514143113042
61452531344
7311551600
oct105735160
937441131
1018332272
11a391342
126180b54
133a4b2ca
142612c00
151921bb7
hex117ba70

18332272 has 60 divisors (see below), whose sum is σ = 42054600. Its totient is φ = 7717248.

The previous prime is 18332267. The next prime is 18332297. The reversal of 18332272 is 27223381.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 18332272.

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 11 ways as a sum of consecutive naturals, for example, 52354 + ... + 52702.

It is an arithmetic number, because the mean of its divisors is an integer number (700910).

Almost surely, 218332272 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 18332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21027300).

18332272 is an abundant number, since it is smaller than the sum of its proper divisors (23722328).

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

18332272 is a wasteful number, since it uses less digits than its factorization.

18332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 18332272 is about 4281.6202540627. The cubic root of 18332272 is about 263.6769080872.

The spelling of 18332272 in words is "eighteen million, three hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 349 392 469 536 698 784 938 1072 1396 1876 2443 2792 3283 3752 4886 5584 6566 7504 9772 13132 17101 19544 23383 26264 34202 39088 46766 52528 68404 93532 136808 163681 187064 273616 327362 374128 654724 1145767 1309448 2291534 2618896 4583068 9166136 18332272