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23808 = 28331
BaseRepresentation
bin101110100000000
31012122210
411310000
51230213
6302120
7126261
oct56400
935583
1023808
1116984
1211940
13aab5
148968
1570c3
hex5d00

23808 has 36 divisors (see below), whose sum is σ = 65408. Its totient is φ = 7680.

The previous prime is 23801. The next prime is 23813. The reversal of 23808 is 80832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23801) 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 3 ways as a sum of consecutive naturals, for example, 753 + ... + 783.

223808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704).

23808 is an abundant number, since it is smaller than the sum of its proper divisors (41600).

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

23808 is an equidigital number, since it uses as much as digits as its factorization.

23808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23808 is about 154.2984121759. The cubic root of 23808 is about 28.7678653926.

The spelling of 23808 in words is "twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808