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457240033 is a prime number
BaseRepresentation
bin11011010000001…
…110110111100001
31011212101012102001
4123100032313201
51414023140113
6113212124001
714221322215
oct3320166741
91155335361
10457240033
11215111228
12109166601
1373963243
1444a24945
152a21d7dd
hex1b40ede1

457240033 has 2 divisors, whose sum is σ = 457240034. Its totient is φ = 457240032.

The previous prime is 457240031. The next prime is 457240037. The reversal of 457240033 is 330042754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 433347489 + 23892544 = 20817^2 + 4888^2 .

It is a cyclic number.

It is not a de Polignac number, because 457240033 - 21 = 457240031 is a prime.

Together with 457240031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 457239983 and 457240010.

It is not a weakly prime, because it can be changed into another prime (457240031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228620016 + 228620017.

It is an arithmetic number, because the mean of its divisors is an integer number (228620017).

Almost surely, 2457240033 is an apocalyptic number.

It is an amenable number.

457240033 is a deficient number, since it is larger than the sum of its proper divisors (1).

457240033 is an equidigital number, since it uses as much as digits as its factorization.

457240033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 457240033 is about 21383.1717245127. The cubic root of 457240033 is about 770.3972948330.

Adding to 457240033 its reverse (330042754), we get a palindrome (787282787).

The spelling of 457240033 in words is "four hundred fifty-seven million, two hundred forty thousand, thirty-three".