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18088768 = 261092593
BaseRepresentation
bin100010100000…
…0001101000000
31021001000010101
41011000031000
514112320033
61443412144
7306515635
oct105001500
937030111
1018088768
11a2353a5
126084054
133994519
14258c18c
1518c497d
hex1140340

18088768 has 28 divisors (see below), whose sum is σ = 36238180. Its totient is φ = 8957952.

The previous prime is 18088729. The next prime is 18088769. The reversal of 18088768 is 86788081.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 6310144 = 3432^2 + 2512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18088769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5680 + ... + 8272.

Almost surely, 218088768 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 18088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119090).

18088768 is an abundant number, since it is smaller than the sum of its proper divisors (18149412).

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

18088768 is a wasteful number, since it uses less digits than its factorization.

18088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The square root of 18088768 is about 4253.0892301949. The cubic root of 18088768 is about 262.5042442246.

The spelling of 18088768 in words is "eighteen million, eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 2593 3488 5186 6976 10372 20744 41488 82976 165952 282637 565274 1130548 2261096 4522192 9044384 18088768