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18678912 = 27376949
BaseRepresentation
bin100011101000…
…0010010000000
31022010222122120
41013100102000
514240211122
61504204240
7314524320
oct107202200
938128576
1018678912
11a5a881a
126309680
133b40015
1426a3280
15198e75c
hex11d0480

18678912 has 64 divisors (see below), whose sum is σ = 56712000. Its totient is φ = 5336064.

The previous prime is 18678889. The next prime is 18678917. The reversal of 18678912 is 21987681.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18678917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 6162.

It is an arithmetic number, because the mean of its divisors is an integer number (886125).

Almost surely, 218678912 is an apocalyptic number.

18678912 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 18678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356000).

18678912 is an abundant number, since it is smaller than the sum of its proper divisors (38033088).

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

18678912 is an equidigital number, since it uses as much as digits as its factorization.

18678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6961 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 18678912 is about 4321.9106885728. The cubic root of 18678912 is about 265.3284736589.

The spelling of 18678912 in words is "eighteen million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 6949 13898 20847 27796 41694 48643 55592 83388 97286 111184 145929 166776 194572 222368 291858 333552 389144 444736 583716 667104 778288 889472 1167432 1334208 1556576 2334864 2668416 3113152 4669728 6226304 9339456 18678912