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18046728 = 2332761587
BaseRepresentation
bin100010011010…
…1111100001000
31020221212110100
41010311330020
514104443403
61442445400
7306252240
oct104657410
936855410
1018046728
11a206857
126063860
13397b34b
14257ab20
1518b72a3
hex1135f08

18046728 has 96 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 5063040.

The previous prime is 18046723. The next prime is 18046739. The reversal of 18046728 is 82764081.

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

It is a junction number, because it is equal to n+sod(n) for n = 18046692 and 18046701.

It is not an unprimeable number, because it can be changed into a prime (18046723) by changing a digit.

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, 30451 + ... + 31037.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 218046728 is an apocalyptic number.

18046728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18046728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

18046728 is an abundant number, since it is smaller than the sum of its proper divisors (38824632).

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

18046728 is a wasteful number, since it uses less digits than its factorization.

18046728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18046728 is about 4248.1440653537. The cubic root of 18046728 is about 262.3007249505.

The spelling of 18046728 in words is "eighteen million, forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 587 732 854 1098 1174 1281 1464 1708 1761 2196 2348 2562 3416 3522 3843 4109 4392 4696 5124 5283 7044 7686 8218 10248 10566 12327 14088 15372 16436 21132 24654 30744 32872 35807 36981 42264 49308 71614 73962 98616 107421 143228 147924 214842 250649 286456 295848 322263 429684 501298 644526 751947 859368 1002596 1289052 1503894 2005192 2255841 2578104 3007788 4511682 6015576 9023364 18046728