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235928 = 23711383
BaseRepresentation
bin111001100110011000
3102222122002
4321212120
530022203
65020132
72001560
oct714630
9388562
10235928
11151290
12b4648
1383504
1461da0
1549d88
hex39998

235928 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 91680.

The previous prime is 235927. The next prime is 235951. The reversal of 235928 is 829532.

235928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 235928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2235928 is an apocalyptic number.

235928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480).

235928 is an abundant number, since it is smaller than the sum of its proper divisors (317032).

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

235928 is a wasteful number, since it uses less digits than its factorization.

235928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 235928 is about 485.7242015795. The cubic root of 235928 is about 61.7911809314.

The spelling of 235928 in words is "two hundred thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 383 616 766 1532 2681 3064 4213 5362 8426 10724 16852 21448 29491 33704 58982 117964 235928