Search a number
-
+
564763993 is a prime number
BaseRepresentation
bin100001101010011…
…001110101011001
31110100200222112221
4201222121311121
52124034421433
6132012504041
716665262153
oct4152316531
91410628487
10564763993
1126a881602
1213917b021
139000c5a1
1455013ad3
15348ac72d
hex21a99d59

564763993 has 2 divisors, whose sum is σ = 564763994. Its totient is φ = 564763992.

The previous prime is 564763939. The next prime is 564764029. The reversal of 564763993 is 399367465.

564763993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (564763939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 549058624 + 15705369 = 23432^2 + 3963^2 .

It is a cyclic number.

It is not a de Polignac number, because 564763993 - 213 = 564755801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564763993.

It is not a weakly prime, because it can be changed into another prime (564763933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282381996 + 282381997.

It is an arithmetic number, because the mean of its divisors is an integer number (282381997).

Almost surely, 2564763993 is an apocalyptic number.

It is an amenable number.

564763993 is a deficient number, since it is larger than the sum of its proper divisors (1).

564763993 is an equidigital number, since it uses as much as digits as its factorization.

564763993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3674160, while the sum is 52.

The square root of 564763993 is about 23764.7636849181. The cubic root of 564763993 is about 826.5878171376.

The spelling of 564763993 in words is "five hundred sixty-four million, seven hundred sixty-three thousand, nine hundred ninety-three".