Search a number
-
+
18245964 = 223111747173
BaseRepresentation
bin100010110011…
…0100101001100
31021022222202110
41011212211030
514132332324
61451024020
7311042142
oct105464514
937288673
1018245964
11a332510
12613b010
133a1ac39
1425cd592
151906329
hex116694c

18245964 has 96 divisors (see below), whose sum is σ = 50512896. Its totient is φ = 5063680.

The previous prime is 18245957. The next prime is 18245987. The reversal of 18245964 is 46954281.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105382 + ... + 105554.

It is an arithmetic number, because the mean of its divisors is an integer number (526176).

Almost surely, 218245964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18245964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256448).

18245964 is an abundant number, since it is smaller than the sum of its proper divisors (32266932).

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

18245964 is a wasteful number, since it uses less digits than its factorization.

18245964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 18245964 is about 4271.5294684691. The cubic root of 18245964 is about 263.2624616556.

The spelling of 18245964 in words is "eighteen million, two hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 132 141 173 187 188 204 282 346 374 517 519 561 564 692 748 799 1034 1038 1122 1551 1598 1903 2068 2076 2244 2397 2941 3102 3196 3806 4794 5709 5882 6204 7612 8131 8789 8823 9588 11418 11764 16262 17578 17646 22836 24393 26367 32351 32524 35156 35292 48786 52734 64702 89441 97053 97572 105468 129404 138227 178882 194106 268323 276454 357764 388212 414681 536646 552908 829362 1073292 1520497 1658724 3040994 4561491 6081988 9122982 18245964