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23832 = 2332331
BaseRepresentation
bin101110100011000
31012200200
411310120
51230312
6302200
7126324
oct56430
935620
1023832
11169a6
1211960
13ab03
148984
1570dc
hex5d18

23832 has 24 divisors (see below), whose sum is σ = 64740. Its totient is φ = 7920.

The previous prime is 23831. The next prime is 23833.

23832 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23831) and next prime (23833).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 237.

223832 is an apocalyptic number.

It is an amenable number.

23832 is an abundant number, since it is smaller than the sum of its proper divisors (40908).

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

23832 is a wasteful number, since it uses less digits than its factorization.

23832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 23832 is about 154.3761639632. The cubic root of 23832 is about 28.7775287677. Note that the first 3 decimals are identical.

The spelling of 23832 in words is "twenty-three thousand, eight hundred thirty-two".