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18528 = 253193
BaseRepresentation
bin100100001100000
3221102020
410201200
51043103
6221440
7105006
oct44140
927366
1018528
1112a14
12a880
138583
146a76
155753
hex4860

18528 has 24 divisors (see below), whose sum is σ = 48888. Its totient is φ = 6144.

The previous prime is 18523. The next prime is 18539. The reversal of 18528 is 82581.

18528 is a nontrivial binomial coefficient, being equal to C(193, 2).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18498 and 18507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (2037).

218528 is an apocalyptic number.

18528 is the 192-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444).

18528 is an abundant number, since it is smaller than the sum of its proper divisors (30360).

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

18528 is a wasteful number, since it uses less digits than its factorization.

18528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 18528 is about 136.1175962174. The cubic root of 18528 is about 26.4611987032.

The spelling of 18528 in words is "eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 18528