Search a number
-
+
901948319 is a prime number
BaseRepresentation
bin110101110000101…
…010001110011111
32022212011201111022
4311300222032133
53321344321234
6225255514355
731231301636
oct6560521637
92285151438
10901948319
11423143138
122120889bb
13114b2943c
1487b0651d
15542b3e2e
hex35c2a39f

901948319 has 2 divisors, whose sum is σ = 901948320. Its totient is φ = 901948318.

The previous prime is 901948309. The next prime is 901948321. The reversal of 901948319 is 913849109.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-901948319 is a prime.

It is a super-2 number, since 2×9019483192 = 1627021540293851522, which contains 22 as substring.

Together with 901948321, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 901948319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901948309) 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, 450974159 + 450974160.

It is an arithmetic number, because the mean of its divisors is an integer number (450974160).

Almost surely, 2901948319 is an apocalyptic number.

901948319 is a deficient number, since it is larger than the sum of its proper divisors (1).

901948319 is an equidigital number, since it uses as much as digits as its factorization.

901948319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 901948319 is about 30032.4544285012. The cubic root of 901948319 is about 966.1855792556.

The spelling of 901948319 in words is "nine hundred one million, nine hundred forty-eight thousand, three hundred nineteen".