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458027137 is a prime number
BaseRepresentation
bin11011010011001…
…111000010000001
31011220212012010001
4123103033002001
51414223332022
6113241040001
714231111041
oct3323170201
91156765101
10458027137
112155a9627
12109486001
1373b7a599
1444b8b721
152a326b27
hex1b4cf081

458027137 has 2 divisors, whose sum is σ = 458027138. Its totient is φ = 458027136.

The previous prime is 458027071. The next prime is 458027149. The reversal of 458027137 is 731720854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 458002801 + 24336 = 21401^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 458027137 - 211 = 458025089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 458027096 and 458027105.

It is not a weakly prime, because it can be changed into another prime (458057137) 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, 229013568 + 229013569.

It is an arithmetic number, because the mean of its divisors is an integer number (229013569).

Almost surely, 2458027137 is an apocalyptic number.

It is an amenable number.

458027137 is a deficient number, since it is larger than the sum of its proper divisors (1).

458027137 is an equidigital number, since it uses as much as digits as its factorization.

458027137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 458027137 is about 21401.5685640095. The cubic root of 458027137 is about 770.8391015674.

The spelling of 458027137 in words is "four hundred fifty-eight million, twenty-seven thousand, one hundred thirty-seven".