Search a number
-
+
18529992 = 2333136599
BaseRepresentation
bin100011010101…
…1111011001000
31021212102101000
41012223323020
514220424432
61501055000
7313334205
oct106537310
937772330
1018529992
11a506948
126257460
133aba2c0
142664cac
15196057c
hex11abec8

18529992 has 64 divisors (see below), whose sum is σ = 55440000. Its totient is φ = 5700672.

The previous prime is 18529981. The next prime is 18530011. The reversal of 18529992 is 29992581.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 492 + ... + 6107.

It is an arithmetic number, because the mean of its divisors is an integer number (866250).

Almost surely, 218529992 is an apocalyptic number.

18529992 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 18529992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720000).

18529992 is an abundant number, since it is smaller than the sum of its proper divisors (36910008).

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

18529992 is a wasteful number, since it uses less digits than its factorization.

18529992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 18529992 is about 4304.6477207781. The cubic root of 18529992 is about 264.6214697641.

The spelling of 18529992 in words is "eighteen million, five hundred twenty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 6599 13198 19797 26396 39594 52792 59391 79188 85787 118782 158376 171574 178173 237564 257361 343148 356346 475128 514722 686296 712692 772083 1029444 1425384 1544166 2058888 2316249 3088332 4632498 6176664 9264996 18529992