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23049 = 3213197
BaseRepresentation
bin101101000001001
31011121200
411220021
51214144
6254413
7124125
oct55011
934550
1023049
1116354
1211409
13a650
148585
156c69
hex5a09

23049 has 12 divisors (see below), whose sum is σ = 36036. Its totient is φ = 14112.

The previous prime is 23041. The next prime is 23053. The reversal of 23049 is 94032.

It can be divided in two parts, 2304 and 9, that multiplied together give a 4-th power (20736 = 124).

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 8649 = 120^2 + 93^2 .

It is not a de Polignac number, because 23049 - 23 = 23041 is a prime.

23049 is an undulating number in base 14.

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 (23041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (3003).

223049 is an apocalyptic number.

It is an amenable number.

23049 is a deficient number, since it is larger than the sum of its proper divisors (12987).

23049 is a wasteful number, since it uses less digits than its factorization.

23049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23049 is about 151.8189711466. The cubic root of 23049 is about 28.4588510508.

The spelling of 23049 in words is "twenty-three thousand, forty-nine".

Divisors: 1 3 9 13 39 117 197 591 1773 2561 7683 23049