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829250073 = 32234006039
BaseRepresentation
bin110001011011010…
…101101000011001
32010210101021020200
4301123111220121
53144242000243
6214141412413
726356336461
oct6133255031
92123337220
10829250073
113960a9943
121b186a109
13102a54722
147c1c0ba1
154cc03ad3
hex316d5a19

829250073 has 12 divisors (see below), whose sum is σ = 1249884480. Its totient is φ = 528797016.

The previous prime is 829250063. The next prime is 829250087. The reversal of 829250073 is 370052928.

It is a happy number.

829250073 is a `hidden beast` number, since 82 + 9 + 2 + 500 + 73 = 666.

829250073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829250073 - 210 = 829249049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829250063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002813 + ... + 2003226.

It is an arithmetic number, because the mean of its divisors is an integer number (104157040).

Almost surely, 2829250073 is an apocalyptic number.

It is an amenable number.

829250073 is a deficient number, since it is larger than the sum of its proper divisors (420634407).

829250073 is a wasteful number, since it uses less digits than its factorization.

829250073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006068 (or 4006065 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 829250073 is about 28796.7024674701. The cubic root of 829250073 is about 939.4965136041.

The spelling of 829250073 in words is "eight hundred twenty-nine million, two hundred fifty thousand, seventy-three".

Divisors: 1 3 9 23 69 207 4006039 12018117 36054351 92138897 276416691 829250073