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457205069 is a prime number
BaseRepresentation
bin11011010000000…
…110010101001101
31011212022102110002
4123100012111031
51414021030234
6113211254045
714221115246
oct3320062515
91155272402
10457205069
11215097a32
1210914a325
1373950359
1444a15ccd
152a21327e
hex1b40654d

457205069 has 2 divisors, whose sum is σ = 457205070. Its totient is φ = 457205068.

The previous prime is 457205053. The next prime is 457205071. The reversal of 457205069 is 960502754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256416169 + 200788900 = 16013^2 + 14170^2 .

It is a cyclic number.

It is not a de Polignac number, because 457205069 - 24 = 457205053 is a prime.

It is a super-3 number, since 3×4572050693 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 457205071, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457205029) 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, 228602534 + 228602535.

It is an arithmetic number, because the mean of its divisors is an integer number (228602535).

Almost surely, 2457205069 is an apocalyptic number.

It is an amenable number.

457205069 is a deficient number, since it is larger than the sum of its proper divisors (1).

457205069 is an equidigital number, since it uses as much as digits as its factorization.

457205069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 457205069 is about 21382.3541500930. The cubic root of 457205069 is about 770.3776575487.

The spelling of 457205069 in words is "four hundred fifty-seven million, two hundred five thousand, sixty-nine".