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18352 = 243137
BaseRepresentation
bin100011110110000
3221011201
410132300
51041402
6220544
7104335
oct43660
927151
1018352
1112874
12a754
138479
14698c
155687
hex47b0

18352 has 20 divisors (see below), whose sum is σ = 37696. Its totient is φ = 8640.

The previous prime is 18341. The next prime is 18353. The reversal of 18352 is 25381.

It is a happy number.

18352 is an admirable number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18353) 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 3 ways as a sum of consecutive naturals, for example, 478 + ... + 514.

218352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848).

18352 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

18352 is a wasteful number, since it uses less digits than its factorization.

18352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 18352 is about 135.4695537750. The cubic root of 18352 is about 26.3771458164.

It can be divided in two parts, 18 and 352, that multiplied together give a palindrome (6336).

The spelling of 18352 in words is "eighteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 4588 9176 18352