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829812081 = 37250315787
BaseRepresentation
bin110001011101011…
…110110101110001
32010211102211011210
4301131132311301
53144412441311
6214201430333
726364200130
oct6135366561
92124384153
10829812081
1139645310a
121b1a9b3a9
13102bc0487
147c2c9917
154ccb53a6
hex3175ed71

829812081 has 16 divisors (see below), whose sum is σ = 1265060864. Its totient is φ = 473958864.

The previous prime is 829812029. The next prime is 829812083. The reversal of 829812081 is 180218928.

It is not a de Polignac number, because 829812081 - 26 = 829812017 is a prime.

It is a super-2 number, since 2×8298120812 = 1377176179547101122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829812083) 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, 44670 + ... + 60456.

It is an arithmetic number, because the mean of its divisors is an integer number (79066304).

Almost surely, 2829812081 is an apocalyptic number.

It is an amenable number.

829812081 is a deficient number, since it is larger than the sum of its proper divisors (435248783).

829812081 is a wasteful number, since it uses less digits than its factorization.

829812081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18300.

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 829812081 is about 28806.4590152972. The cubic root of 829812081 is about 939.7087074634.

The spelling of 829812081 in words is "eight hundred twenty-nine million, eight hundred twelve thousand, eighty-one".

Divisors: 1 3 7 21 2503 7509 15787 17521 47361 52563 110509 331527 39514861 118544583 276604027 829812081