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18252 = 2233132
BaseRepresentation
bin100011101001100
3221001000
410131030
51041002
6220300
7104133
oct43514
927030
1018252
1112793
12a690
138400
14691a
15561c
hex474c

18252 has 36 divisors (see below), whose sum is σ = 51240. Its totient is φ = 5616.

The previous prime is 18251. The next prime is 18253. The reversal of 18252 is 25281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (18251) and next prime (18253).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (18251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 1410.

218252 is an apocalyptic number.

18252 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 18252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620).

18252 is an abundant number, since it is smaller than the sum of its proper divisors (32988).

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

18252 is a wasteful number, since it uses less digits than its factorization.

18252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 18252 is about 135.0999629904. The cubic root of 18252 is about 26.3291488660.

The spelling of 18252 in words is "eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252