Search a number
-
+
832928 = 2526029
BaseRepresentation
bin11001011010110100000
31120022120012
43023112200
5203123203
625504052
710036235
oct3132640
91508505
10832928
11519878
12342028
13232175
1417978c
15116bd8
hexcb5a0

832928 has 12 divisors (see below), whose sum is σ = 1639890. Its totient is φ = 416448.

The previous prime is 832927. The next prime is 832933. The reversal of 832928 is 829238.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 8464 = 908^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 26029 = 832928 / (8 + 3 + 2 + 9 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 832894 and 832903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832928.

It is not an unprimeable number, because it can be changed into a prime (832927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12983 + ... + 13046.

2832928 is an apocalyptic number.

It is an amenable number.

832928 is a deficient number, since it is larger than the sum of its proper divisors (806962).

832928 is a wasteful number, since it uses less digits than its factorization.

832928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26039 (or 26031 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 832928 is about 912.6488919623. The cubic root of 832928 is about 94.0883430829.

The spelling of 832928 in words is "eight hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 26029 52058 104116 208232 416464 832928