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829804830 = 23576935969
BaseRepresentation
bin110001011101011…
…101000100011110
32010211102110020020
4301131131010132
53144412223310
6214201333010
726364140031
oct6135350436
92124373206
10829804830
11396448718
121b1a97166
13102bba09a
147c2c7018
154ccb3170
hex3175d11e

829804830 has 32 divisors (see below), whose sum is σ = 1994176800. Its totient is φ = 220987392.

The previous prime is 829804793. The next prime is 829804889. The reversal of 829804830 is 38408928.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5086 + ... + 41054.

It is an arithmetic number, because the mean of its divisors is an integer number (62318025).

Almost surely, 2829804830 is an apocalyptic number.

829804830 is an abundant number, since it is smaller than the sum of its proper divisors (1164371970).

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

829804830 is a wasteful number, since it uses less digits than its factorization.

829804830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36748.

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 829804830 is about 28806.3331578318. Note that the first 3 decimals coincide. The cubic root of 829804830 is about 939.7059703587.

The spelling of 829804830 in words is "eight hundred twenty-nine million, eight hundred four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 769 1538 2307 3845 4614 7690 11535 23070 35969 71938 107907 179845 215814 359690 539535 1079070 27660161 55320322 82980483 138300805 165960966 276601610 414902415 829804830