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18208768 = 21117523
BaseRepresentation
bin100010101110…
…1100000000000
31021021002201211
41011131200000
514130140033
61450135504
7310525534
oct105354000
937232654
1018208768
11a307576
126121594
133a07026
1425bdbc4
1518ea2cd
hex115d800

18208768 has 48 divisors (see below), whose sum is σ = 38624040. Its totient is φ = 8552448.

The previous prime is 18208763. The next prime is 18208793. The reversal of 18208768 is 86780281.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18208768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18208763) 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, 34555 + ... + 35077.

Almost surely, 218208768 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 18208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312020).

18208768 is an abundant number, since it is smaller than the sum of its proper divisors (20415272).

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

18208768 is an equidigital number, since it uses as much as digits as its factorization.

18208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 18208768 is about 4267.1733032536. The cubic root of 18208768 is about 263.0834454043.

The spelling of 18208768 in words is "eighteen million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 523 544 1024 1046 1088 2048 2092 2176 4184 4352 8368 8704 8891 16736 17408 17782 33472 34816 35564 66944 71128 133888 142256 267776 284512 535552 569024 1071104 1138048 2276096 4552192 9104384 18208768