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409252903 is a prime number
BaseRepresentation
bin11000011001001…
…011010000100111
31001112002012102221
4120121023100213
51314232043103
6104335413211
713066410103
oct3031132047
91045065387
10409252903
111a0015844
12b5084207
1366a310a7
143c4d2903
1525de01bd
hex1864b427

409252903 has 2 divisors, whose sum is σ = 409252904. Its totient is φ = 409252902.

The previous prime is 409252897. The next prime is 409252931. The reversal of 409252903 is 309252904.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 409252903 - 25 = 409252871 is a prime.

It is a super-2 number, since 2×4092529032 = 334975877227854818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409252933) 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, 204626451 + 204626452.

It is an arithmetic number, because the mean of its divisors is an integer number (204626452).

Almost surely, 2409252903 is an apocalyptic number.

409252903 is a deficient number, since it is larger than the sum of its proper divisors (1).

409252903 is an equidigital number, since it uses as much as digits as its factorization.

409252903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 409252903 is about 20230.0000741473. Note that the first 4 decimals coincide. The cubic root of 409252903 is about 742.4443778503. Note that the first 3 decimals are identical.

Subtracting from 409252903 its reverse (309252904), we obtain a palindrome (99999999).

The spelling of 409252903 in words is "four hundred nine million, two hundred fifty-two thousand, nine hundred three".