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3827994241 is a prime number
BaseRepresentation
bin1110010000101010…
…1000111010000001
3100212210001020220111
43210022220322001
530314431303431
61431503111321
7163601262031
oct34412507201
910783036814
103827994241
111694891805
128a9ba2541
134900b9466
1428457b8c1
151760ea7b1
hexe42a8e81

3827994241 has 2 divisors, whose sum is σ = 3827994242. Its totient is φ = 3827994240.

The previous prime is 3827994133. The next prime is 3827994293. The reversal of 3827994241 is 1424997283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2840463616 + 987530625 = 53296^2 + 31425^2 .

It is a cyclic number.

It is not a de Polignac number, because 3827994241 - 213 = 3827986049 is a prime.

It is a super-3 number, since 3×38279942413 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3827992241) 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, 1913997120 + 1913997121.

It is an arithmetic number, because the mean of its divisors is an integer number (1913997121).

Almost surely, 23827994241 is an apocalyptic number.

It is an amenable number.

3827994241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827994241 is an equidigital number, since it uses as much as digits as its factorization.

3827994241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The square root of 3827994241 is about 61870.7866525067. The cubic root of 3827994241 is about 1564.3133750265.

The spelling of 3827994241 in words is "three billion, eight hundred twenty-seven million, nine hundred ninety-four thousand, two hundred forty-one".