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829232969 is a prime number
BaseRepresentation
bin110001011011010…
…001011101001001
32010210100101210012
4301123101131021
53144240423334
6214141201305
726356235555
oct6133213511
92123311705
10829232969
11396098004
121b1860235
13102a499c6
147c1b8865
154cbed9ce
hex316d1749

829232969 has 2 divisors, whose sum is σ = 829232970. Its totient is φ = 829232968.

The previous prime is 829232947. The next prime is 829232977. The reversal of 829232969 is 969232928.

829232969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627252025 + 201980944 = 25045^2 + 14212^2 .

It is a cyclic number.

It is not a de Polignac number, because 829232969 - 224 = 812455753 is a prime.

It is a super-2 number, since 2×8292329692 = 1375254633753109922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (829232939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414616484 + 414616485.

It is an arithmetic number, because the mean of its divisors is an integer number (414616485).

Almost surely, 2829232969 is an apocalyptic number.

It is an amenable number.

829232969 is a deficient number, since it is larger than the sum of its proper divisors (1).

829232969 is an equidigital number, since it uses as much as digits as its factorization.

829232969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 839808, while the sum is 50.

The square root of 829232969 is about 28796.4054874910. The cubic root of 829232969 is about 939.4900542503.

The spelling of 829232969 in words is "eight hundred twenty-nine million, two hundred thirty-two thousand, nine hundred sixty-nine".