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18983168 = 28292557
BaseRepresentation
bin100100001101…
…0100100000000
31022201110000022
41020122210000
514324430133
61514513012
7320232341
oct110324400
938643008
1018983168
11a796376
126435768
133c18659
1427420c8
1519ee998
hex121a900

18983168 has 36 divisors (see below), whose sum is σ = 39214140. Its totient is φ = 9160704.

The previous prime is 18983161. The next prime is 18983171. The reversal of 18983168 is 86138981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 9935104 = 3008^2 + 3152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18983161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6146 + ... + 8702.

Almost surely, 218983168 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 18983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607070).

18983168 is an abundant number, since it is smaller than the sum of its proper divisors (20230972).

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

18983168 is an equidigital number, since it uses as much as digits as its factorization.

18983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2588 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 18983168 is about 4356.9677529217. The cubic root of 18983168 is about 266.7613441594.

The spelling of 18983168 in words is "eighteen million, nine hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 2557 3712 5114 7424 10228 20456 40912 74153 81824 148306 163648 296612 327296 593224 654592 1186448 2372896 4745792 9491584 18983168