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857603993 is a prime number
BaseRepresentation
bin110011000111011…
…111111110011001
32012202201210111212
4303013133332121
53224021311433
6221033232505
730152341121
oct6307377631
92182653455
10857603993
11400105634
121bb262735
131088a13ac
1481c81c81
1550454d48
hex331dff99

857603993 has 2 divisors, whose sum is σ = 857603994. Its totient is φ = 857603992.

The previous prime is 857603963. The next prime is 857604001. The reversal of 857603993 is 399306758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 619611664 + 237992329 = 24892^2 + 15427^2 .

It is a cyclic number.

It is not a de Polignac number, because 857603993 - 214 = 857587609 is a prime.

It is not a weakly prime, because it can be changed into another prime (857603963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 428801996 + 428801997.

It is an arithmetic number, because the mean of its divisors is an integer number (428801997).

Almost surely, 2857603993 is an apocalyptic number.

It is an amenable number.

857603993 is a deficient number, since it is larger than the sum of its proper divisors (1).

857603993 is an equidigital number, since it uses as much as digits as its factorization.

857603993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1224720, while the sum is 50.

The square root of 857603993 is about 29284.8765235573. The cubic root of 857603993 is about 950.0845697566.

The spelling of 857603993 in words is "eight hundred fifty-seven million, six hundred three thousand, nine hundred ninety-three".