Search a number
-
+
2444807993 is a prime number
BaseRepresentation
bin1001000110111000…
…1100111100111001
320022101100010002012
42101232030330321
520001332323433
61042332415305
7114404345045
oct22156147471
96271303065
102444807993
111045037481
12582917535
132cc676a64
141929a5025
15e4977848
hex91b8cf39

2444807993 has 2 divisors, whose sum is σ = 2444807994. Its totient is φ = 2444807992.

The previous prime is 2444807987. The next prime is 2444808001. The reversal of 2444807993 is 3997084442.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2399824144 + 44983849 = 48988^2 + 6707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2444807993 is a prime.

It is a super-2 number, since 2×24448079932 = 11954172245273376098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2444807293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1222403996 + 1222403997.

It is an arithmetic number, because the mean of its divisors is an integer number (1222403997).

Almost surely, 22444807993 is an apocalyptic number.

It is an amenable number.

2444807993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2444807993 is an equidigital number, since it uses as much as digits as its factorization.

2444807993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The square root of 2444807993 is about 49444.9996764081. Note that the first 3 decimals coincide. The cubic root of 2444807993 is about 1347.1467847897.

The spelling of 2444807993 in words is "two billion, four hundred forty-four million, eight hundred seven thousand, nine hundred ninety-three".