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239928 = 23313769
BaseRepresentation
bin111010100100111000
3110012010020
4322210320
530134203
65050440
72016333
oct724470
9405106
10239928
11154297
12b6a20
1385290
146361a
154b153
hex3a938

239928 has 32 divisors (see below), whose sum is σ = 646800. Its totient is φ = 73728.

The previous prime is 239893. The next prime is 239929. The reversal of 239928 is 829932.

239928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239929) by changing a digit.

239928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 696.

2239928 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 239928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323400).

239928 is an abundant number, since it is smaller than the sum of its proper divisors (406872).

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

239928 is a wasteful number, since it uses less digits than its factorization.

239928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 239928 is about 489.8244583522. The cubic root of 239928 is about 62.1384350325.

The spelling of 239928 in words is "two hundred thirty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 769 1538 2307 3076 4614 6152 9228 9997 18456 19994 29991 39988 59982 79976 119964 239928