Search a number
-
+
978365441 is a prime number
BaseRepresentation
bin111010010100001…
…010110000000001
32112011222010002002
4322110022300001
54000430143231
6241025433345
733146653244
oct7224126001
92464863062
10978365441
11462297489
1223379b855
13127903a81
1493d1925b
155ad5b0cb
hex3a50ac01

978365441 has 2 divisors, whose sum is σ = 978365442. Its totient is φ = 978365440.

The previous prime is 978365429. The next prime is 978365449. The reversal of 978365441 is 144563879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 977875441 + 490000 = 31271^2 + 700^2 .

It is a cyclic number.

It is not a de Polignac number, because 978365441 - 218 = 978103297 is a prime.

It is a super-2 number, since 2×9783654412 = 1914397872286248962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (978365449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489182720 + 489182721.

It is an arithmetic number, because the mean of its divisors is an integer number (489182721).

Almost surely, 2978365441 is an apocalyptic number.

It is an amenable number.

978365441 is a deficient number, since it is larger than the sum of its proper divisors (1).

978365441 is an equidigital number, since it uses as much as digits as its factorization.

978365441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 47.

The square root of 978365441 is about 31278.8337538342. The cubic root of 978365441 is about 992.7358400859.

The spelling of 978365441 in words is "nine hundred seventy-eight million, three hundred sixty-five thousand, four hundred forty-one".