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18468252 = 223211149313
BaseRepresentation
bin100011001110…
…0110110011100
31021202021200100
41012130312130
514211441002
61455501100
7312656205
oct106346634
937667610
1018468252
11a474520
126227790
133a9817a
14264a5ac
15194c11c
hex119cd9c

18468252 has 72 divisors (see below), whose sum is σ = 51433200. Its totient is φ = 5541120.

The previous prime is 18468251. The next prime is 18468253. The reversal of 18468252 is 25286481.

It is an interprime number because it is at equal distance from previous prime (18468251) and next prime (18468253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18468251) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58848 + ... + 59160.

It is an arithmetic number, because the mean of its divisors is an integer number (714350).

Almost surely, 218468252 is an apocalyptic number.

18468252 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 18468252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25716600).

18468252 is an abundant number, since it is smaller than the sum of its proper divisors (32964948).

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

18468252 is a wasteful number, since it uses less digits than its factorization.

18468252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 18468252 is about 4297.4704187464. The cubic root of 18468252 is about 264.3272457045.

The spelling of 18468252 in words is "eighteen million, four hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 313 396 447 596 626 894 939 1252 1341 1639 1788 1878 2682 2817 3278 3443 3756 4917 5364 5634 6556 6886 9834 10329 11268 13772 14751 19668 20658 29502 30987 41316 46637 59004 61974 93274 123948 139911 186548 279822 419733 513007 559644 839466 1026014 1539021 1678932 2052028 3078042 4617063 6156084 9234126 18468252