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839076993 = 321921012557
BaseRepresentation
bin110010000000110…
…100110010000001
32011110212112020200
4302000310302001
53204300430433
6215132155413
726536015416
oct6200646201
92143775220
10839076993
113a0700a67
121b5008b69
13104ab5581
147d61c10d
154d9e5613
hex32034c81

839076993 has 36 divisors (see below), whose sum is σ = 1292316948. Its totient is φ = 524491200.

The previous prime is 839076989. The next prime is 839077033. The reversal of 839076993 is 399670938.

It can be written as a sum of positive squares in 2 ways, for example, as 626150529 + 212926464 = 25023^2 + 14592^2 .

It is not a de Polignac number, because 839076993 - 22 = 839076989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (839078993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326871 + ... + 329427.

It is an arithmetic number, because the mean of its divisors is an integer number (35897693).

Almost surely, 2839076993 is an apocalyptic number.

It is an amenable number.

839076993 is a deficient number, since it is larger than the sum of its proper divisors (453239955).

839076993 is a wasteful number, since it uses less digits than its factorization.

839076993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 839076993 is about 28966.8257322061. The cubic root of 839076993 is about 943.1930769789.

The spelling of 839076993 in words is "eight hundred thirty-nine million, seventy-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 19 57 101 171 303 361 909 1083 1919 2557 3249 5757 7671 17271 23013 36461 48583 109383 145749 258257 328149 437247 774771 923077 2324313 2769231 4906883 8307693 14720649 44161947 93230777 279692331 839076993