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18864612 = 223213173233
BaseRepresentation
bin100011111110…
…1100111100100
31022111102101100
41013331213210
514312131422
61512200100
7316226604
oct107754744
938442340
1018864612
11a715298
126399030
133ba66c0
142710c04
1519c97ac
hex11fd9e4

18864612 has 72 divisors (see below), whose sum is σ = 51872184. Its totient is φ = 5746176.

The previous prime is 18864607. The next prime is 18864613. The reversal of 18864612 is 21646881.

18864612 is a `hidden beast` number, since 1 + 8 + 8 + 646 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 17438976 = 1194^2 + 4176^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18864613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80848 + ... + 81080.

It is an arithmetic number, because the mean of its divisors is an integer number (720447).

Almost surely, 218864612 is an apocalyptic number.

18864612 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 18864612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936092).

18864612 is an abundant number, since it is smaller than the sum of its proper divisors (33007572).

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

18864612 is a wasteful number, since it uses less digits than its factorization.

18864612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18864612 is about 4343.3411102514. The cubic root of 18864612 is about 266.2048471999.

The spelling of 18864612 in words is "eighteen million, eight hundred sixty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 233 234 346 466 468 519 692 699 932 1038 1398 1557 2076 2097 2249 2796 3029 3114 4194 4498 6058 6228 6747 8388 8996 9087 12116 13494 18174 20241 26988 27261 36348 40309 40482 54522 80618 80964 109044 120927 161236 241854 362781 483708 524017 725562 1048034 1451124 1572051 2096068 3144102 4716153 6288204 9432306 18864612