Search a number
-
+
478257541 is a prime number
BaseRepresentation
bin11100100000011…
…010000110000101
31020022221000000021
4130200122012011
51434413220131
6115242415141
714565056566
oct3440320605
91208830007
10478257541
11225a66a73
121142014b1
1378111838
144773616d
152bec0e11
hex1c81a185

478257541 has 2 divisors, whose sum is σ = 478257542. Its totient is φ = 478257540.

The previous prime is 478257509. The next prime is 478257557. The reversal of 478257541 is 145752874.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470673025 + 7584516 = 21695^2 + 2754^2 .

It is a cyclic number.

It is not a de Polignac number, because 478257541 - 25 = 478257509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (478257581) 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, 239128770 + 239128771.

It is an arithmetic number, because the mean of its divisors is an integer number (239128771).

Almost surely, 2478257541 is an apocalyptic number.

It is an amenable number.

478257541 is a deficient number, since it is larger than the sum of its proper divisors (1).

478257541 is an equidigital number, since it uses as much as digits as its factorization.

478257541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 313600, while the sum is 43.

The square root of 478257541 is about 21869.1001415239. The cubic root of 478257541 is about 782.0249494376.

The spelling of 478257541 in words is "four hundred seventy-eight million, two hundred fifty-seven thousand, five hundred forty-one".