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8429029 = 72172021
BaseRepresentation
bin100000001001…
…110111100101
3120212020110021
4200021313211
54124212104
6500355141
7131434300
oct40116745
916766407
108429029
114837944
1229a5ab1
1319917bb
141195b37
15b17754
hex809de5

8429029 has 6 divisors (see below), whose sum is σ = 9805254. Its totient is φ = 7224840.

The previous prime is 8429011. The next prime is 8429051. The reversal of 8429029 is 9209248.

8429029 is digitally balanced in base 3, 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 only one way, i.e., 8398404 + 30625 = 2898^2 + 175^2 .

It is not a de Polignac number, because 8429029 - 29 = 8428517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8428985 and 8429003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8429089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85962 + ... + 86059.

It is an arithmetic number, because the mean of its divisors is an integer number (1634209).

Almost surely, 28429029 is an apocalyptic number.

It is an amenable number.

8429029 is a deficient number, since it is larger than the sum of its proper divisors (1376225).

8429029 is a wasteful number, since it uses less digits than its factorization.

8429029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172035 (or 172028 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8429029 is about 2903.2790082939. The cubic root of 8429029 is about 203.5131685603.

The spelling of 8429029 in words is "eight million, four hundred twenty-nine thousand, twenty-nine".

Divisors: 1 7 49 172021 1204147 8429029