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827919049 is a prime number
BaseRepresentation
bin110001010110010…
…000101011001001
32010200212122102111
4301112100223021
53143421402144
6214053102321
726342124106
oct6126205311
92120778374
10827919049
1139537a921
121b13279a1
131026a9939
147bd55aad
154ca3e534
hex31590ac9

827919049 has 2 divisors, whose sum is σ = 827919050. Its totient is φ = 827919048.

The previous prime is 827919031. The next prime is 827919101. The reversal of 827919049 is 940919728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 556724025 + 271195024 = 23595^2 + 16468^2 .

It is a cyclic number.

It is not a de Polignac number, because 827919049 - 213 = 827910857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827918993 and 827919011.

It is not a weakly prime, because it can be changed into another prime (827919019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413959524 + 413959525.

It is an arithmetic number, because the mean of its divisors is an integer number (413959525).

Almost surely, 2827919049 is an apocalyptic number.

It is an amenable number.

827919049 is a deficient number, since it is larger than the sum of its proper divisors (1).

827919049 is an equidigital number, since it uses as much as digits as its factorization.

827919049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 827919049 is about 28773.5824846334. The cubic root of 827919049 is about 938.9935844725.

The spelling of 827919049 in words is "eight hundred twenty-seven million, nine hundred nineteen thousand, forty-nine".