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18473 = 721329
BaseRepresentation
bin100100000101001
3221100012
410200221
51042343
6221305
7104600
oct44051
927305
1018473
1112974
12a835
138540
146a37
155718
hex4829

18473 has 12 divisors (see below), whose sum is σ = 23940. Its totient is φ = 14112.

The previous prime is 18461. The next prime is 18481. The reversal of 18473 is 37481.

It is a happy number.

18473 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 12544 = 77^2 + 112^2 .

It is not a de Polignac number, because 18473 - 24 = 18457 is a prime.

It is a cake number, because a cake can be divided into 18473 parts by 48 planar cuts.

Its product of digits (672) is a multiple of the sum of its prime factors (56).

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (18413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

218473 is an apocalyptic number.

18473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

18473 is a deficient number, since it is larger than the sum of its proper divisors (5467).

18473 is a wasteful number, since it uses less digits than its factorization.

18473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 49 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 18473 is about 135.9154148726. The cubic root of 18473 is about 26.4349895714.

Adding to 18473 its sum of digits (23), we get a square (18496 = 1362).

The spelling of 18473 in words is "eighteen thousand, four hundred seventy-three".

Divisors: 1 7 13 29 49 91 203 377 637 1421 2639 18473