Search a number
-
+
949058213 is a prime number
BaseRepresentation
bin111000100100010…
…111101010100101
32110010211011010012
4320210113222211
53420424330323
6234101340005
732342601365
oct7044275245
92403734105
10949058213
1144779a534
12225a07605
1312181220c
149008a9a5
15584bc678
hex38917aa5

949058213 has 2 divisors, whose sum is σ = 949058214. Its totient is φ = 949058212.

The previous prime is 949058153. The next prime is 949058219. The reversal of 949058213 is 312850949.

949058213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 889351684 + 59706529 = 29822^2 + 7727^2 .

It is a cyclic number.

It is not a de Polignac number, because 949058213 - 28 = 949057957 is a prime.

It is a super-3 number, since 3×9490582133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (949058219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474529106 + 474529107.

It is an arithmetic number, because the mean of its divisors is an integer number (474529107).

Almost surely, 2949058213 is an apocalyptic number.

It is an amenable number.

949058213 is a deficient number, since it is larger than the sum of its proper divisors (1).

949058213 is an equidigital number, since it uses as much as digits as its factorization.

949058213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 949058213 is about 30806.7884239821. The cubic root of 949058213 is about 982.7226154628.

The spelling of 949058213 in words is "nine hundred forty-nine million, fifty-eight thousand, two hundred thirteen".