Search a number
-
+
590432993 is a prime number
BaseRepresentation
bin100011001100010…
…100101011100001
31112011000002210122
4203030110223201
52202122323433
6134331010025
720426411663
oct4314245341
91464002718
10590432993
11283314057
12145899915
1395429147
14585b6533
1536c7d198
hex23314ae1

590432993 has 2 divisors, whose sum is σ = 590432994. Its totient is φ = 590432992.

The previous prime is 590432989. The next prime is 590433017. The reversal of 590432993 is 399234095.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 546250384 + 44182609 = 23372^2 + 6647^2 .

It is a cyclic number.

It is not a de Polignac number, because 590432993 - 22 = 590432989 is a prime.

It is a super-2 number, since 2×5904329932 = 697222238445876098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (590432963) 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, 295216496 + 295216497.

It is an arithmetic number, because the mean of its divisors is an integer number (295216497).

Almost surely, 2590432993 is an apocalyptic number.

It is an amenable number.

590432993 is a deficient number, since it is larger than the sum of its proper divisors (1).

590432993 is an equidigital number, since it uses as much as digits as its factorization.

590432993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 44.

The square root of 590432993 is about 24298.8269881490. The cubic root of 590432993 is about 838.9257777196.

The spelling of 590432993 in words is "five hundred ninety million, four hundred thirty-two thousand, nine hundred ninety-three".