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409252897 is a prime number
BaseRepresentation
bin11000011001001…
…011010000100001
31001112002012102201
4120121023100201
51314232043042
6104335413201
713066410064
oct3031132041
91045065381
10409252897
111a0015839
12b5084201
1366a310a1
143c4d28db
1525de01b7
hex1864b421

409252897 has 2 divisors, whose sum is σ = 409252898. Its totient is φ = 409252896.

The previous prime is 409252889. The next prime is 409252903. The reversal of 409252897 is 798252904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275526801 + 133726096 = 16599^2 + 11564^2 .

It is a cyclic number.

It is not a de Polignac number, because 409252897 - 23 = 409252889 is a prime.

It is not a weakly prime, because it can be changed into another prime (409252807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204626448 + 204626449.

It is an arithmetic number, because the mean of its divisors is an integer number (204626449).

Almost surely, 2409252897 is an apocalyptic number.

It is an amenable number.

409252897 is a deficient number, since it is larger than the sum of its proper divisors (1).

409252897 is an equidigital number, since it uses as much as digits as its factorization.

409252897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 409252897 is about 20229.9999258527. Note that the first 4 decimals coincide. The cubic root of 409252897 is about 742.4443742220. Note that the first 3 decimals are identical.

The spelling of 409252897 in words is "four hundred nine million, two hundred fifty-two thousand, eight hundred ninety-seven".