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829812029 is a prime number
BaseRepresentation
bin110001011101011…
…110110100111101
32010211102211002212
4301131132310331
53144412441104
6214201430205
726364200024
oct6135366475
92124384085
10829812029
11396453072
121b1a9b365
13102bc0447
147c2c98bb
154ccb536e
hex3175ed3d

829812029 has 2 divisors, whose sum is σ = 829812030. Its totient is φ = 829812028.

The previous prime is 829812017. The next prime is 829812083. The reversal of 829812029 is 920218928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 610831225 + 218980804 = 24715^2 + 14798^2 .

It is a cyclic number.

It is not a de Polignac number, because 829812029 - 212 = 829807933 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829812629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414906014 + 414906015.

It is an arithmetic number, because the mean of its divisors is an integer number (414906015).

Almost surely, 2829812029 is an apocalyptic number.

It is an amenable number.

829812029 is a deficient number, since it is larger than the sum of its proper divisors (1).

829812029 is an equidigital number, since it uses as much as digits as its factorization.

829812029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 829812029 is about 28806.4581127219. The cubic root of 829812029 is about 939.7086878345.

The spelling of 829812029 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, twenty-nine".