Search a number
-
+
18481914 = 23211269347
BaseRepresentation
bin100011010000…
…0001011111010
31021202222102100
41012200023322
514212410124
61500044230
7313044063
oct106401372
937688370
1018481914
11a483810
126233676
133aa1459
14265156a
1519511c9
hex11a02fa

18481914 has 48 divisors (see below), whose sum is σ = 43973280. Its totient is φ = 5563680.

The previous prime is 18481913. The next prime is 18481919. The reversal of 18481914 is 41918481.

It is a super-2 number, since 2×184819142 = 683162290206792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18481913) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53089 + ... + 53435.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 218481914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18481914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986640).

18481914 is an abundant number, since it is smaller than the sum of its proper divisors (25491366).

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

18481914 is a wasteful number, since it uses less digits than its factorization.

18481914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 632 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 18481914 is about 4299.0596646243. The cubic root of 18481914 is about 264.3924088598.

The spelling of 18481914 in words is "eighteen million, four hundred eighty-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 347 538 694 807 1041 1614 2082 2421 2959 3123 3817 4842 5918 6246 7634 8877 11451 17754 22902 26631 34353 53262 68706 93343 186686 280029 560058 840087 1026773 1680174 2053546 3080319 6160638 9240957 18481914