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492048617 is a prime number
BaseRepresentation
bin11101010101000…
…001000011101001
31021021212122210212
4131111001003221
52001431023432
6120454150505
715123226034
oct3525010351
91237778725
10492048617
11232826455
12118952435
137ac2cb38
14494c601b
152d2e72b2
hex1d5410e9

492048617 has 2 divisors, whose sum is σ = 492048618. Its totient is φ = 492048616.

The previous prime is 492048611. The next prime is 492048649. The reversal of 492048617 is 716840294.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 376786921 + 115261696 = 19411^2 + 10736^2 .

It is a cyclic number.

It is not a de Polignac number, because 492048617 - 212 = 492044521 is a prime.

It is a super-3 number, since 3×4920486173 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (492048611) 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, 246024308 + 246024309.

It is an arithmetic number, because the mean of its divisors is an integer number (246024309).

Almost surely, 2492048617 is an apocalyptic number.

It is an amenable number.

492048617 is a deficient number, since it is larger than the sum of its proper divisors (1).

492048617 is an equidigital number, since it uses as much as digits as its factorization.

492048617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 492048617 is about 22182.1688975627. The cubic root of 492048617 is about 789.4706794430.

The spelling of 492048617 in words is "four hundred ninety-two million, forty-eight thousand, six hundred seventeen".