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23768433 = 3213533833
BaseRepresentation
bin101101010101…
…0110101110001
31122201120011100
41122222311301
522041042213
62205235013
7406012503
oct132526561
948646140
1023768433
1112464637
127b62a69
134c02780
143229d73
152147773
hex16aad71

23768433 has 24 divisors (see below), whose sum is σ = 37680552. Its totient is φ = 14347008.

The previous prime is 23768419. The next prime is 23768441. The reversal of 23768433 is 33486732.

It can be written as a sum of positive squares in 4 ways, for example, as 613089 + 23155344 = 783^2 + 4812^2 .

It is not a de Polignac number, because 23768433 - 25 = 23768401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23768443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4285 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (1570023).

Almost surely, 223768433 is an apocalyptic number.

It is an amenable number.

23768433 is a deficient number, since it is larger than the sum of its proper divisors (13912119).

23768433 is a wasteful number, since it uses less digits than its factorization.

23768433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3902 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 23768433 is about 4875.2879914934. The cubic root of 23768433 is about 287.5191992219.

The spelling of 23768433 in words is "twenty-three million, seven hundred sixty-eight thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 3833 6201 11499 34497 49829 149487 203149 448461 609447 1828341 2640937 7922811 23768433