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18272466 = 234149757
BaseRepresentation
bin100010110110…
…1000011010010
31021101100010000
41011231003102
514134204331
61451350430
7311212332
oct105550322
937340100
1018272466
11a350413
126152416
133a2a014
1425d90c2
15190e0e6
hex116d0d2

18272466 has 40 divisors (see below), whose sum is σ = 41273100. Its totient is φ = 6041952.

The previous prime is 18272459. The next prime is 18272473. The reversal of 18272466 is 66427281.

It is an interprime number because it is at equal distance from previous prime (18272459) and next prime (18272473).

It can be written as a sum of positive squares in 2 ways, for example, as 17816841 + 455625 = 4221^2 + 675^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18272466.

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 19 ways as a sum of consecutive naturals, for example, 23760 + ... + 24516.

Almost surely, 218272466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18272466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636550).

18272466 is an abundant number, since it is smaller than the sum of its proper divisors (23000634).

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

18272466 is a wasteful number, since it uses less digits than its factorization.

18272466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 18272466 is about 4274.6305103482. The cubic root of 18272466 is about 263.3898616383.

It can be divided in two parts, 18 and 272466, that added together give a square (272484 = 5222).

The spelling of 18272466 in words is "eighteen million, two hundred seventy-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 757 894 1341 1514 2271 2682 4023 4542 6813 8046 12069 13626 20439 24138 40878 61317 112793 122634 225586 338379 676758 1015137 2030274 3045411 6090822 9136233 18272466