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18838008 = 233474153
BaseRepresentation
bin100011111011…
…1000111111000
31022110001220000
41013313013320
514310304013
61511433000
7316056210
oct107670770
938401800
1018838008
11a6a7302
126385760
133b97567
142705240
1519c1973
hex11f71f8

18838008 has 80 divisors (see below), whose sum is σ = 60316080. Its totient is φ = 5380992.

The previous prime is 18837991. The next prime is 18838009. The reversal of 18838008 is 80083881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18838009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2460 + ... + 6612.

It is an arithmetic number, because the mean of its divisors is an integer number (753951).

Almost surely, 218838008 is an apocalyptic number.

18838008 is a gapful number since it is divisible by the number (18) 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 18838008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30158040).

18838008 is an abundant number, since it is smaller than the sum of its proper divisors (41478072).

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

18838008 is a wasteful number, since it uses less digits than its factorization.

18838008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18838008 is about 4340.2774104889. The cubic root of 18838008 is about 266.0796490145.

The spelling of 18838008 in words is "eighteen million, eight hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4153 4536 8306 12459 16612 24918 29071 33224 37377 49836 58142 74754 87213 99672 112131 116284 149508 174426 224262 232568 261639 299016 336393 348852 448524 523278 672786 697704 784917 897048 1046556 1345572 1569834 2093112 2354751 2691144 3139668 4709502 6279336 9419004 18838008