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18638004 = 22371123877
BaseRepresentation
bin100011100011…
…0010010110100
31022001220112110
41013012102310
514232404004
61503251020
7314264130
oct107062264
938056473
1018638004
11a580010
1262a9a70
133b27508
1426923c0
151982589
hex11c64b4

18638004 has 96 divisors (see below), whose sum is σ = 56641536. Its totient is φ = 4625280.

The previous prime is 18638003. The next prime is 18638029. The reversal of 18638004 is 40083681.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18638003) 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 31 ways as a sum of consecutive naturals, for example, 20814 + ... + 21690.

It is an arithmetic number, because the mean of its divisors is an integer number (590016).

Almost surely, 218638004 is an apocalyptic number.

18638004 is a gapful number since it is divisible by the number (14) 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 18638004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320768).

18638004 is an abundant number, since it is smaller than the sum of its proper divisors (38003532).

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

18638004 is a wasteful number, since it uses less digits than its factorization.

18638004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18638004 is about 4317.1754655098. The cubic root of 18638004 is about 265.1346366990.

The spelling of 18638004 in words is "eighteen million, six hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 877 924 966 1012 1518 1754 1771 1932 2631 3036 3508 3542 5262 5313 6139 7084 9647 10524 10626 12278 18417 19294 20171 21252 24556 28941 36834 38588 40342 57882 60513 67529 73668 80684 115764 121026 135058 141197 202587 221881 242052 270116 282394 405174 423591 443762 564788 665643 810348 847182 887524 1331286 1553167 1694364 2662572 3106334 4659501 6212668 9319002 18638004