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18288096 = 253296569
BaseRepresentation
bin100010111000…
…0110111100000
31021102010112220
41011300313200
514140204341
61451551040
7311306031
oct105606740
937363486
1018288096
11a361132
12615b480
133a34178
142600a88
151913a66
hex1170de0

18288096 has 48 divisors (see below), whose sum is σ = 49669200. Its totient is φ = 5884928.

The previous prime is 18288079. The next prime is 18288097. The reversal of 18288096 is 69088281.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18288097) 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 7 ways as a sum of consecutive naturals, for example, 501 + ... + 6068.

It is an arithmetic number, because the mean of its divisors is an integer number (1034775).

Almost surely, 218288096 is an apocalyptic number.

18288096 is a gapful number since it is divisible by the number (16) 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 18288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834600).

18288096 is an abundant number, since it is smaller than the sum of its proper divisors (31381104).

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

18288096 is a wasteful number, since it uses less digits than its factorization.

18288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 18288096 is about 4276.4583477452. The cubic root of 18288096 is about 263.4649401797.

The spelling of 18288096 in words is "eighteen million, two hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 6569 13138 19707 26276 39414 52552 78828 105104 157656 190501 210208 315312 381002 571503 630624 762004 1143006 1524008 2286012 3048016 4572024 6096032 9144048 18288096