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42827513 is a prime number
BaseRepresentation
bin1010001101011…
…1111011111001
32222120212022012
42203113323321
541430440023
64125535305
71030012361
oct243277371
988525265
1042827513
11221a1a43
1212414535
138b46831
14598b9a1
153b5e978
hex28d7ef9

42827513 has 2 divisors, whose sum is σ = 42827514. Its totient is φ = 42827512.

The previous prime is 42827479. The next prime is 42827531. The reversal of 42827513 is 31572824.

42827513 = 46272 + 46282.

Together with next prime (42827531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21418384 + 21409129 = 4628^2 + 4627^2 .

It is a cyclic number.

It is not a de Polignac number, because 42827513 - 210 = 42826489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42827513.

It is not a weakly prime, because it can be changed into another prime (42827563) 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, 21413756 + 21413757.

It is an arithmetic number, because the mean of its divisors is an integer number (21413757).

Almost surely, 242827513 is an apocalyptic number.

42827513 is the 4628-th centered square number.

It is an amenable number.

42827513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42827513 is an equidigital number, since it uses as much as digits as its factorization.

42827513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 42827513 is about 6544.2732980828. The cubic root of 42827513 is about 349.8707359388.

The spelling of 42827513 in words is "forty-two million, eight hundred twenty-seven thousand, five hundred thirteen".