Search a number
-
+
18378828 = 223213173227
BaseRepresentation
bin100011000011…
…1000001001100
31021120202000100
41012013001030
514201110303
61453531100
7312134406
oct106070114
937522010
1018378828
11a413316
1261a3a90
133a66560
142625b76
1519308a3
hex118704c

18378828 has 72 divisors (see below), whose sum is σ = 50542128. Its totient is φ = 5597568.

The previous prime is 18378827. The next prime is 18378839. The reversal of 18378828 is 82887381.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18378821) 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, 80851 + ... + 81077.

It is an arithmetic number, because the mean of its divisors is an integer number (701974).

Almost surely, 218378828 is an apocalyptic number.

18378828 is a gapful number since it is divisible by the number (18) 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 18378828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25271064).

18378828 is an abundant number, since it is smaller than the sum of its proper divisors (32163300).

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

18378828 is a wasteful number, since it uses less digits than its factorization.

18378828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 418 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 18378828 is about 4287.0535336056. The cubic root of 18378828 is about 263.8999276359.

The spelling of 18378828 in words is "eighteen million, three hundred seventy-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 227 234 346 454 468 519 681 692 908 1038 1362 1557 2043 2076 2249 2724 2951 3114 4086 4498 5902 6228 6747 8172 8853 8996 11804 13494 17706 20241 26559 26988 35412 39271 40482 53118 78542 80964 106236 117813 157084 235626 353439 471252 510523 706878 1021046 1413756 1531569 2042092 3063138 4594707 6126276 9189414 18378828