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232928 = 2529251
BaseRepresentation
bin111000110111100000
3102211111222
4320313200
524423203
64554212
71660043
oct706740
9384458
10232928
1114a003
12b2968
1382037
1460c5a
1549038
hex38de0

232928 has 24 divisors (see below), whose sum is σ = 476280. Its totient is φ = 112000.

The previous prime is 232919. The next prime is 232937. The reversal of 232928 is 829232.

232928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232919) and next prime (232937).

It is a d-powerful number, because it can be written as 22 + 311 + 94 + 214 + 215 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 232897 and 232906.

It is a congruent number.

It is an unprimeable number.

232928 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 3 ways as a sum of consecutive naturals, for example, 803 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2232928 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 232928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238140).

232928 is an abundant number, since it is smaller than the sum of its proper divisors (243352).

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

232928 is a wasteful number, since it uses less digits than its factorization.

232928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 232928 is about 482.6261493123. The cubic root of 232928 is about 61.5281559666.

It can be divided in two parts, 232 and 928, that multiplied together give a square (215296 = 4642).

The spelling of 232928 in words is "two hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 251 464 502 928 1004 2008 4016 7279 8032 14558 29116 58232 116464 232928