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18272916 = 22325361157
BaseRepresentation
bin100010110110…
…1001010010100
31021101100201200
41011231022110
514134213131
61451352500
7311213544
oct105551224
937340650
1018272916
11a350792
126152730
133a2a29c
1425d9324
15190e2e6
hex116d294

18272916 has 72 divisors (see below), whose sum is σ = 48137544. Its totient is φ = 5840640.

The previous prime is 18272873. The next prime is 18272939. The reversal of 18272916 is 61927281.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 18096516 = 420^2 + 4254^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116310 + ... + 116466.

It is an arithmetic number, because the mean of its divisors is an integer number (668577).

Almost surely, 218272916 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 18272916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068772).

18272916 is an abundant number, since it is smaller than the sum of its proper divisors (29864628).

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

18272916 is a wasteful number, since it uses less digits than its factorization.

18272916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 18272916 is about 4274.6831461525. The cubic root of 18272916 is about 263.3920238071.

The spelling of 18272916 in words is "eighteen million, two hundred seventy-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 61 106 122 157 159 183 212 244 314 318 366 471 477 549 628 636 732 942 954 1098 1413 1884 1908 2196 2826 3233 5652 6466 8321 9577 9699 12932 16642 19154 19398 24963 28731 29097 33284 38308 38796 49926 57462 58194 74889 86193 99852 114924 116388 149778 172386 299556 344772 507581 1015162 1522743 2030324 3045486 4568229 6090972 9136458 18272916