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409890617 is a prime number
BaseRepresentation
bin11000011011100…
…110111100111001
31001120021121012222
4120123212330321
51314412444432
6104401213425
713105004243
oct3033467471
91046247188
10409890617
111a0410984
12b5331275
1366bc5436
143c61b093
1525eb9112
hex186e6f39

409890617 has 2 divisors, whose sum is σ = 409890618. Its totient is φ = 409890616.

The previous prime is 409890601. The next prime is 409890671. The reversal of 409890617 is 716098904.

Together with next prime (409890671) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250398976 + 159491641 = 15824^2 + 12629^2 .

It is a cyclic number.

It is not a de Polignac number, because 409890617 - 24 = 409890601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409890317) 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, 204945308 + 204945309.

It is an arithmetic number, because the mean of its divisors is an integer number (204945309).

Almost surely, 2409890617 is an apocalyptic number.

It is an amenable number.

409890617 is a deficient number, since it is larger than the sum of its proper divisors (1).

409890617 is an equidigital number, since it uses as much as digits as its factorization.

409890617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 409890617 is about 20245.7555304810. The cubic root of 409890617 is about 742.8298130813.

The spelling of 409890617 in words is "four hundred nine million, eight hundred ninety thousand, six hundred seventeen".