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23856 = 243771
BaseRepresentation
bin101110100110000
31012201120
411310300
51230411
6302240
7126360
oct56460
935646
1023856
1116a18
1211980
13ab21
1489a0
157106
hex5d30

23856 has 40 divisors (see below), whose sum is σ = 71424. Its totient is φ = 6720.

The previous prime is 23833. The next prime is 23857. The reversal of 23856 is 65832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 24 + 39 + 84 + 52 + 62 .

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

It is not an unprimeable number, because it can be changed into a prime (23857) 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 7 ways as a sum of consecutive naturals, for example, 301 + ... + 371.

223856 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 23856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

23856 is an abundant number, since it is smaller than the sum of its proper divisors (47568).

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

23856 is a wasteful number, since it uses less digits than its factorization.

23856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 23856 is about 154.4538766105. The cubic root of 23856 is about 28.7871856572.

Subtracting from 23856 its sum of digits (24), we obtain a palindrome (23832).

The spelling of 23856 in words is "twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 23856