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18313938 = 2375379
BaseRepresentation
bin100010111011…
…1001011010010
31021110110000000
41011313023102
514142021223
61452310430
7311444256
oct105671322
937413000
1018313938
11a379595
126172416
133a42b66
14260a266
15191b543
hex11772d2

18313938 has 64 divisors (see below), whose sum is σ = 42508800. Its totient is φ = 5913648.

The previous prime is 18313907. The next prime is 18313949. The reversal of 18313938 is 83931381.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231783 + ... + 231861.

It is an arithmetic number, because the mean of its divisors is an integer number (664200).

Almost surely, 218313938 is an apocalyptic number.

18313938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18313938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254400).

18313938 is an abundant number, since it is smaller than the sum of its proper divisors (24194862).

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

18313938 is an frugal number, since it uses more digits than its factorization.

18313938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 18313938 is about 4279.4787065716. The cubic root of 18313938 is about 263.5889781805.

The spelling of 18313938 in words is "eighteen million, three hundred thirteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 79 81 106 158 159 162 237 243 318 474 477 486 711 729 954 1422 1431 1458 2133 2187 2862 4187 4266 4293 4374 6399 8374 8586 12561 12798 12879 19197 25122 25758 37683 38394 38637 57591 75366 77274 113049 115182 115911 172773 226098 231822 339147 345546 678294 1017441 2034882 3052323 6104646 9156969 18313938