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831057305 = 51319764901
BaseRepresentation
bin110001100010001…
…110110110011001
32010220210002022012
4301202032312121
53200222313210
6214244235305
726410604411
oct6142166631
92126702265
10831057305
11397123721
121b239bb35
131032381b0
147c531641
154ce5e305
hex3188ed99

831057305 has 16 divisors (see below), whose sum is σ = 1079450064. Its totient is φ = 610579200.

The previous prime is 831057301. The next prime is 831057313. The reversal of 831057305 is 503750138.

831057305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 52591504 + 778465801 = 7252^2 + 27901^2 .

It is not a de Polignac number, because 831057305 - 22 = 831057301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (831057301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19646 + ... + 45255.

It is an arithmetic number, because the mean of its divisors is an integer number (67465629).

Almost surely, 2831057305 is an apocalyptic number.

It is an amenable number.

831057305 is a deficient number, since it is larger than the sum of its proper divisors (248392759).

831057305 is a wasteful number, since it uses less digits than its factorization.

831057305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65116.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 831057305 is about 28828.0645378770. The cubic root of 831057305 is about 940.1785178530.

The spelling of 831057305 in words is "eight hundred thirty-one million, fifty-seven thousand, three hundred five".

Divisors: 1 5 13 65 197 985 2561 12805 64901 324505 843713 4218565 12785497 63927485 166211461 831057305