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18936312 = 23319131317
BaseRepresentation
bin100100000111…
…1000111111000
31022122001201220
41020033013320
514321430222
61513512040
7316645623
oct110170770
938561656
1018936312
11a76414a
126412620
133c00225
14272cdba
1519e0b5c
hex120f1f8

18936312 has 64 divisors (see below), whose sum is σ = 50371200. Its totient is φ = 5915520.

The previous prime is 18936311. The next prime is 18936343. The reversal of 18936312 is 21363981.

It is a super-2 number, since 2×189363122 = 717167824322688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18936311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59578 + ... + 59894.

It is an arithmetic number, because the mean of its divisors is an integer number (787050).

Almost surely, 218936312 is an apocalyptic number.

18936312 is a gapful number since it is divisible by the number (12) 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 18936312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185600).

18936312 is an abundant number, since it is smaller than the sum of its proper divisors (31434888).

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

18936312 is a wasteful number, since it uses less digits than its factorization.

18936312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 18936312 is about 4351.5872966080. The cubic root of 18936312 is about 266.5416817073.

The spelling of 18936312 in words is "eighteen million, nine hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 131 152 228 262 317 393 456 524 634 786 951 1048 1268 1572 1902 2489 2536 3144 3804 4978 6023 7467 7608 9956 12046 14934 18069 19912 24092 29868 36138 41527 48184 59736 72276 83054 124581 144552 166108 249162 332216 498324 789013 996648 1578026 2367039 3156052 4734078 6312104 9468156 18936312