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829328 = 24173049
BaseRepresentation
bin11001010011110010000
31120010121212
43022132100
5203014303
625435252
710022603
oct3123620
91503555
10829328
115170a5
1233bb28
13230636
1417833a
15115ad8
hexca790

829328 has 20 divisors (see below), whose sum is σ = 1701900. Its totient is φ = 390144.

The previous prime is 829319. The next prime is 829349. The reversal of 829328 is 823928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 478864 = 592^2 + 692^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 829294 and 829303.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829328.

It is an unprimeable number.

829328 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, 1253 + ... + 1796.

It is an arithmetic number, because the mean of its divisors is an integer number (85095).

2829328 is an apocalyptic number.

It is an amenable number.

829328 is an abundant number, since it is smaller than the sum of its proper divisors (872572).

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

829328 is a wasteful number, since it uses less digits than its factorization.

829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

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

The square root of 829328 is about 910.6744753204. The cubic root of 829328 is about 93.9525941740.

The spelling of 829328 in words is "eight hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 3049 6098 12196 24392 48784 51833 103666 207332 414664 829328