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829208231 = 4120224591
BaseRepresentation
bin110001011011001…
…011011010100111
32010210022010211222
4301123023122213
53144234130411
6214140450555
726356103465
oct6133133247
92123263758
10829208231
11396080465
121b1849a5b
13102a3b677
147c1ad835
154cbe64db
hex316cb6a7

829208231 has 4 divisors (see below), whose sum is σ = 849432864. Its totient is φ = 808983600.

The previous prime is 829208209. The next prime is 829208257. The reversal of 829208231 is 132802928.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-829208231 is a prime.

It is a super-2 number, since 2×8292082312 = 1375172580716298722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829208191 and 829208200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829208131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10112255 + ... + 10112336.

It is an arithmetic number, because the mean of its divisors is an integer number (212358216).

Almost surely, 2829208231 is an apocalyptic number.

829208231 is a deficient number, since it is larger than the sum of its proper divisors (20224633).

829208231 is a wasteful number, since it uses less digits than its factorization.

829208231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224632.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 829208231 is about 28795.9759515110. The cubic root of 829208231 is about 939.4807117466.

The spelling of 829208231 in words is "eight hundred twenty-nine million, two hundred eight thousand, two hundred thirty-one".

Divisors: 1 41 20224591 829208231