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23832385 = 517216493
BaseRepresentation
bin101101011101…
…0011101000001
31122211210212221
41122322131001
522100114020
62210451041
7406400113
oct132723501
948753787
1023832385
11124a8695
127b93a81
134c25905
1432453b3
15215b6aa
hex16ba741

23832385 has 12 divisors (see below), whose sum is σ = 30381948. Its totient is φ = 17943296.

The previous prime is 23832379. The next prime is 23832409. The reversal of 23832385 is 58323832.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 173889 + 23658496 = 417^2 + 4864^2 .

It is not a de Polignac number, because 23832385 - 27 = 23832257 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23832385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6802 + ... + 9691.

It is an arithmetic number, because the mean of its divisors is an integer number (2531829).

Almost surely, 223832385 is an apocalyptic number.

It is an amenable number.

23832385 is a deficient number, since it is larger than the sum of its proper divisors (6549563).

23832385 is a wasteful number, since it uses less digits than its factorization.

23832385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16532 (or 16515 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 23832385 is about 4881.8423776275. The cubic root of 23832385 is about 287.7768373141.

It can be divided in two parts, 238 and 32385, that added together give a palindrome (32623).

The spelling of 23832385 in words is "twenty-three million, eight hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 5 17 85 289 1445 16493 82465 280381 1401905 4766477 23832385