Search a number
-
+
506221949 is a prime number
BaseRepresentation
bin11110001011000…
…101010101111101
31022021112201222002
4132023011111331
52014043100244
6122122032045
715354546512
oct3613052575
91267481862
10506221949
1123a827052
12121648625
1380b5311c
144b335309
152e696a4e
hex1e2c557d

506221949 has 2 divisors, whose sum is σ = 506221950. Its totient is φ = 506221948.

The previous prime is 506221889. The next prime is 506222009. The reversal of 506221949 is 949122605.

It is a balanced prime because it is at equal distance from previous prime (506221889) and next prime (506222009).

It can be written as a sum of positive squares in only one way, i.e., 377058724 + 129163225 = 19418^2 + 11365^2 .

It is a cyclic number.

It is not a de Polignac number, because 506221949 - 220 = 505173373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506221549) 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, 253110974 + 253110975.

It is an arithmetic number, because the mean of its divisors is an integer number (253110975).

Almost surely, 2506221949 is an apocalyptic number.

It is an amenable number.

506221949 is a deficient number, since it is larger than the sum of its proper divisors (1).

506221949 is an equidigital number, since it uses as much as digits as its factorization.

506221949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 506221949 is about 22499.3766358093. The cubic root of 506221949 is about 796.9792063012.

The spelling of 506221949 in words is "five hundred six million, two hundred twenty-one thousand, nine hundred forty-nine".