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404867993 is a prime number
BaseRepresentation
bin11000001000011…
…100101110011001
31001012211102110212
4120020130232121
51312121233433
6104101420505
713014215105
oct3010345631
91035742425
10404867993
111985a0352
12b370a735
1365b5727a
143bab0905
1525825d48
hex1821cb99

404867993 has 2 divisors, whose sum is σ = 404867994. Its totient is φ = 404867992.

The previous prime is 404867987. The next prime is 404868047. The reversal of 404867993 is 399768404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 318693904 + 86174089 = 17852^2 + 9283^2 .

It is a cyclic number.

It is not a de Polignac number, because 404867993 - 24 = 404867977 is a prime.

It is not a weakly prime, because it can be changed into another prime (404867933) 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, 202433996 + 202433997.

It is an arithmetic number, because the mean of its divisors is an integer number (202433997).

Almost surely, 2404867993 is an apocalyptic number.

It is an amenable number.

404867993 is a deficient number, since it is larger than the sum of its proper divisors (1).

404867993 is an equidigital number, since it uses as much as digits as its factorization.

404867993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 404867993 is about 20121.3317899189. The cubic root of 404867993 is about 739.7832290560.

The spelling of 404867993 in words is "four hundred four million, eight hundred sixty-seven thousand, nine hundred ninety-three".