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465040993 is a prime number
BaseRepresentation
bin11011101101111…
…111011001100001
31012102001112022111
4123231333121201
51423022302433
6114051235321
714344532434
oct3355773141
91172045274
10465040993
1121955a1aa
1210b8a8b41
1375464bb1
1445a9581b
152ac5edcd
hex1bb7f661

465040993 has 2 divisors, whose sum is σ = 465040994. Its totient is φ = 465040992.

The previous prime is 465040987. The next prime is 465040999. The reversal of 465040993 is 399040564.

It is a balanced prime because it is at equal distance from previous prime (465040987) and next prime (465040999).

It can be written as a sum of positive squares in only one way, i.e., 375700689 + 89340304 = 19383^2 + 9452^2 .

It is a cyclic number.

It is not a de Polignac number, because 465040993 - 221 = 462943841 is a prime.

It is not a weakly prime, because it can be changed into another prime (465040999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232520496 + 232520497.

It is an arithmetic number, because the mean of its divisors is an integer number (232520497).

Almost surely, 2465040993 is an apocalyptic number.

It is an amenable number.

465040993 is a deficient number, since it is larger than the sum of its proper divisors (1).

465040993 is an equidigital number, since it uses as much as digits as its factorization.

465040993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 465040993 is about 21564.8091343281. The cubic root of 465040993 is about 774.7538548174.

The spelling of 465040993 in words is "four hundred sixty-five million, forty thousand, nine hundred ninety-three".