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457604561 is a prime number
BaseRepresentation
bin11011010001100…
…111110111010001
31011220001201110002
4123101213313101
51414121321221
6113224015345
714224401041
oct3321476721
91156051402
10457604561
11215340097
12109301555
1373a6013b
1444abb721
152a29180b
hex1b467dd1

457604561 has 2 divisors, whose sum is σ = 457604562. Its totient is φ = 457604560.

The previous prime is 457604557. The next prime is 457604579. The reversal of 457604561 is 165406754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375158161 + 82446400 = 19369^2 + 9080^2 .

It is a cyclic number.

It is not a de Polignac number, because 457604561 - 22 = 457604557 is a prime.

It is not a weakly prime, because it can be changed into another prime (457604501) 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, 228802280 + 228802281.

It is an arithmetic number, because the mean of its divisors is an integer number (228802281).

Almost surely, 2457604561 is an apocalyptic number.

It is an amenable number.

457604561 is a deficient number, since it is larger than the sum of its proper divisors (1).

457604561 is an equidigital number, since it uses as much as digits as its factorization.

457604561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 457604561 is about 21391.6937384584. The cubic root of 457604561 is about 770.6019698165.

The spelling of 457604561 in words is "four hundred fifty-seven million, six hundred four thousand, five hundred sixty-one".