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829828161 = 3292203129
BaseRepresentation
bin110001011101100…
…010110001000001
32010211110122020100
4301131202301001
53144414000121
6214202033013
726364265041
oct6135426101
92124418210
10829828161
113964641a8
121b1aa8769
13102bc78a6
147c2d1721
154ccba026
hex31762c41

829828161 has 6 divisors (see below), whose sum is σ = 1198640690. Its totient is φ = 553218768.

The previous prime is 829828117. The next prime is 829828169. The reversal of 829828161 is 161828928.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 786465936 + 43362225 = 28044^2 + 6585^2 .

It is not a de Polignac number, because 829828161 - 219 = 829303873 is a prime.

It is a super-2 number, since 2×8298281612 = 1377229553577283842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829828169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46101556 + ... + 46101573.

Almost surely, 2829828161 is an apocalyptic number.

It is an amenable number.

829828161 is a deficient number, since it is larger than the sum of its proper divisors (368812529).

829828161 is a wasteful number, since it uses less digits than its factorization.

829828161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92203135 (or 92203132 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 829828161 is about 28806.7381180168. The cubic root of 829828161 is about 939.7147772788.

The spelling of 829828161 in words is "eight hundred twenty-nine million, eight hundred twenty-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 92203129 276609387 829828161