Search a number
-
+
18438642 = 2321760257
BaseRepresentation
bin100011001010…
…1100111110010
31021200210001200
41012111213302
514210014032
61455112030
7312503655
oct106254762
937623050
1018438642
11a454252
126212616
133a87851
14263d89c
15194347c
hex11959f2

18438642 has 24 divisors (see below), whose sum is σ = 42301116. Its totient is φ = 5784576.

The previous prime is 18438619. The next prime is 18438649. The reversal of 18438642 is 24683481.

18438642 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 8 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16719921 + 1718721 = 4089^2 + 1311^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18438597 and 18438606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18438649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29823 + ... + 30434.

Almost surely, 218438642 is an apocalyptic number.

18438642 is an abundant number, since it is smaller than the sum of its proper divisors (23862474).

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

18438642 is a wasteful number, since it uses less digits than its factorization.

18438642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60282 (or 60279 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18438642 is about 4294.0239868915. The cubic root of 18438642 is about 264.1859055582.

The spelling of 18438642 in words is "eighteen million, four hundred thirty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 60257 120514 180771 361542 542313 1024369 1084626 2048738 3073107 6146214 9219321 18438642