Search a number
-
+
472472657 is a prime number
BaseRepresentation
bin11100001010010…
…101110001010001
31012221001002122022
4130022111301101
51431423111112
6114514421225
714464644206
oct3412256121
91187032568
10472472657
11222775778
12112291815
1376b67727
1446a6bcad
152b72bd72
hex1c295c51

472472657 has 2 divisors, whose sum is σ = 472472658. Its totient is φ = 472472656.

The previous prime is 472472629. The next prime is 472472659. The reversal of 472472657 is 756274274.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357361216 + 115111441 = 18904^2 + 10729^2 .

It is a cyclic number.

It is not a de Polignac number, because 472472657 - 28 = 472472401 is a prime.

It is a super-2 number, since 2×4724726572 = 446460823225279298, which contains 22 as substring.

Together with 472472659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (472472659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 236236328 + 236236329.

It is an arithmetic number, because the mean of its divisors is an integer number (236236329).

Almost surely, 2472472657 is an apocalyptic number.

It is an amenable number.

472472657 is a deficient number, since it is larger than the sum of its proper divisors (1).

472472657 is an equidigital number, since it uses as much as digits as its factorization.

472472657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 658560, while the sum is 44.

The square root of 472472657 is about 21736.4361614318. The cubic root of 472472657 is about 778.8590908221.

The spelling of 472472657 in words is "four hundred seventy-two million, four hundred seventy-two thousand, six hundred fifty-seven".