Search a number
18496 = 26172
BaseRepresentation
bin100100001000000
3221101001
410201000
51042441
6221344
7104632
oct44100
927331
1018496
1112995
12a854
13855a
146a52
155731
hex4840

18496 has 21 divisors (see below), whose sum is σ = 38989. Its totient is φ = 8704.

The previous prime is 18493. The next prime is 18503. The reversal of 18496 is 69481.

18496 = T135 + T136.

18496 = 13 + 23 + ... + 163.

The square root of 18496 is 136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 4096 = 120^2 + 64^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (18493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1080 + ... + 1096.

218496 is an apocalyptic number.

18496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18496 is the 136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18496

18496 is an abundant number, since it is smaller than the sum of its proper divisors (20493).

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

18496 is an equidigital number, since it uses as much as digits as its factorization.

18496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 19 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The cubic root of 18496 is about 26.4459560738.

The spelling of 18496 in words is "eighteen thousand, four hundred ninety-six".