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829076803 = 3126114143
BaseRepresentation
bin110001011010101…
…011010101000011
32010210001110120021
4301122223111003
53144220424203
6214133554311
726355015352
oct6132532503
92123043507
10829076803
11395aa0745
121b17a5997
131029c38b9
147c177999
154cbbc5bd
hex316ab543

829076803 has 12 divisors (see below), whose sum is σ = 870789504. Its totient is φ = 789123600.

The previous prime is 829076753. The next prime is 829076821. The reversal of 829076803 is 308670928.

829076803 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829076803 - 229 = 292205891 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829076803.

It is not an unprimeable number, because it can be changed into a prime (829076903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51550 + ... + 65692.

It is an arithmetic number, because the mean of its divisors is an integer number (72565792).

Almost surely, 2829076803 is an apocalyptic number.

829076803 is a deficient number, since it is larger than the sum of its proper divisors (41712701).

829076803 is a wasteful number, since it uses less digits than its factorization.

829076803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14266 (or 14235 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 829076803 is about 28793.6938061097. The cubic root of 829076803 is about 939.4310737947.

The spelling of 829076803 in words is "eight hundred twenty-nine million, seventy-six thousand, eight hundred three".

Divisors: 1 31 61 961 1891 14143 58621 438433 862723 13591423 26744413 829076803