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415816897 is a prime number
BaseRepresentation
bin11000110010001…
…101110011000001
31001222102200112211
4120302031303001
51322422120042
6105132222121
713206246106
oct3062156301
91058380484
10415816897
111a3799431
12b730a941
13681bba02
143d320aad
152678a017
hex18c8dcc1

415816897 has 2 divisors, whose sum is σ = 415816898. Its totient is φ = 415816896.

The previous prime is 415816879. The next prime is 415816901. The reversal of 415816897 is 798618514.

Together with previous prime (415816879) 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., 310323456 + 105493441 = 17616^2 + 10271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-415816897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415816897.

It is not a weakly prime, because it can be changed into another prime (415816867) 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, 207908448 + 207908449.

It is an arithmetic number, because the mean of its divisors is an integer number (207908449).

Almost surely, 2415816897 is an apocalyptic number.

It is an amenable number.

415816897 is a deficient number, since it is larger than the sum of its proper divisors (1).

415816897 is an equidigital number, since it uses as much as digits as its factorization.

415816897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483840, while the sum is 49.

The square root of 415816897 is about 20391.5888787510. The cubic root of 415816897 is about 746.3926906124.

The spelling of 415816897 in words is "four hundred fifteen million, eight hundred sixteen thousand, eight hundred ninety-seven".