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832428 = 2232191217
BaseRepresentation
bin11001011001110101100
31120021212200
43023032230
5203114203
625501500
710034622
oct3131654
91507780
10832428
11519463
12341890
13231b7c
14179512
151169a3
hexcb3ac

832428 has 36 divisors (see below), whose sum is σ = 2216760. Its totient is φ = 262656.

The previous prime is 832427. The next prime is 832451. The reversal of 832428 is 824238.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832428.

It is not an unprimeable number, because it can be changed into a prime (832421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 1292.

2832428 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 832428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108380).

832428 is an abundant number, since it is smaller than the sum of its proper divisors (1384332).

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

832428 is a wasteful number, since it uses less digits than its factorization.

832428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1241 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 832428 is about 912.3749229346. The cubic root of 832428 is about 94.0695124885.

The spelling of 832428 in words is "eight hundred thirty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1217 2434 3651 4868 7302 10953 14604 21906 23123 43812 46246 69369 92492 138738 208107 277476 416214 832428