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18045738 = 2321723469
BaseRepresentation
bin100010011010…
…1101100101010
31020221211002200
41010311230222
514104430423
61442441030
7306246324
oct104655452
936854080
1018045738
11a206037
126063176
13397aa69
14257a614
1518b6d43
hex1135b2a

18045738 has 36 divisors (see below), whose sum is σ = 41546310. Its totient is φ = 5659776.

The previous prime is 18045679. The next prime is 18045739. The reversal of 18045738 is 83754081.

18045738 is a `hidden beast` number, since 1 + 80 + 4 + 573 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15233409 + 2812329 = 3903^2 + 1677^2 .

It is not an unprimeable number, because it can be changed into a prime (18045739) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3468 + ... + 6936.

Almost surely, 218045738 is an apocalyptic number.

18045738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18045738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773155).

18045738 is an abundant number, since it is smaller than the sum of its proper divisors (23500572).

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

18045738 is a wasteful number, since it uses less digits than its factorization.

18045738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 18045738 is about 4248.0275422836. The cubic root of 18045738 is about 262.2959284676.

The spelling of 18045738 in words is "eighteen million, forty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 3469 5202 6938 10407 20814 31221 58973 62442 117946 176919 353838 530757 1002541 1061514 2005082 3007623 6015246 9022869 18045738