Search a number
-
+
18363438 = 23229127277
BaseRepresentation
bin100011000001…
…1010000101110
31021112221220100
41012003100232
514200112223
61453331530
7312041502
oct106032056
937487810
1018363438
11a4027a5
126196ba6
133a5c552
142620302
15192b043
hex118342e

18363438 has 48 divisors (see below), whose sum is σ = 41633280. Its totient is φ = 5842368.

The previous prime is 18363403. The next prime is 18363469. The reversal of 18363438 is 83436381.

It is a happy number.

18363438 is a `hidden beast` number, since 18 + 3 + 634 + 3 + 8 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66156 + ... + 66432.

It is an arithmetic number, because the mean of its divisors is an integer number (867360).

Almost surely, 218363438 is an apocalyptic number.

18363438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18363438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20816640).

18363438 is an abundant number, since it is smaller than the sum of its proper divisors (23269842).

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

18363438 is a wasteful number, since it uses less digits than its factorization.

18363438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 18363438 is about 4285.2582185908. The cubic root of 18363438 is about 263.8262458600.

The spelling of 18363438 in words is "eighteen million, three hundred sixty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 127 174 254 261 277 381 522 554 762 831 1143 1662 2286 2493 3683 4986 7366 8033 11049 16066 22098 24099 33147 35179 48198 66294 70358 72297 105537 144594 211074 316611 633222 1020191 2040382 3060573 6121146 9181719 18363438