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18628816 = 2419233263
BaseRepresentation
bin100011100010…
…0000011010000
31022001102221011
41013010003100
514232110231
61503140304
7314225263
oct107040320
938042834
1018628816
11a574118
1262a4694
133b2328b
14268ccda
15197e9b1
hex11c40d0

18628816 has 40 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 8752896.

The previous prime is 18628783. The next prime is 18628823. The reversal of 18628816 is 61882681.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70701 + ... + 70963.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 218628816 is an apocalyptic number.

18628816 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 18628816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

18628816 is an abundant number, since it is smaller than the sum of its proper divisors (19672304).

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

18628816 is a wasteful number, since it uses less digits than its factorization.

18628816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 18628816 is about 4316.1112126543. Note that the first 3 decimals coincide. The cubic root of 18628816 is about 265.0910616207.

The spelling of 18628816 in words is "eighteen million, six hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 233 263 304 466 526 932 1052 1864 2104 3728 4208 4427 4997 8854 9994 17708 19988 35416 39976 61279 70832 79952 122558 245116 490232 980464 1164301 2328602 4657204 9314408 18628816