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83357829 = 341029109
BaseRepresentation
bin1001111011111…
…11000010000101
312210212000110000
410331333002011
5132314422304
612134351513
72031346512
oct475770205
9183760400
1083357829
1143064a75
1223abb599
1314367879
14b0dc309
1574b8939
hex4f7f085

83357829 has 10 divisors (see below), whose sum is σ = 124522310. Its totient is φ = 55571832.

The previous prime is 83357809. The next prime is 83357843. The reversal of 83357829 is 92875338.

It can be written as a sum of positive squares in only one way, i.e., 76212900 + 7144929 = 8730^2 + 2673^2 .

It is not a de Polignac number, because 83357829 - 211 = 83355781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83357809) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 514474 + ... + 514635.

It is an arithmetic number, because the mean of its divisors is an integer number (12452231).

Almost surely, 283357829 is an apocalyptic number.

It is an amenable number.

83357829 is a deficient number, since it is larger than the sum of its proper divisors (41164481).

83357829 is a wasteful number, since it uses less digits than its factorization.

83357829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029121 (or 1029112 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 83357829 is about 9130.0508760905. The cubic root of 83357829 is about 436.8330260471.

The spelling of 83357829 in words is "eighty-three million, three hundred fifty-seven thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 81 1029109 3087327 9261981 27785943 83357829