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461465993 is a prime number
BaseRepresentation
bin11011100000010…
…110100110001001
31012011022220100002
4123200112212021
51421113402433
6113442452345
714302252622
oct3340264611
91164286302
10461465993
1121753825a
1210a6640b5
13747b2901
1445404a49
152a7a59e8
hex1b816989

461465993 has 2 divisors, whose sum is σ = 461465994. Its totient is φ = 461465992.

The previous prime is 461465989. The next prime is 461466007. The reversal of 461465993 is 399564164.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313892089 + 147573904 = 17717^2 + 12148^2 .

It is a cyclic number.

It is not a de Polignac number, because 461465993 - 22 = 461465989 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (461465903) 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, 230732996 + 230732997.

It is an arithmetic number, because the mean of its divisors is an integer number (230732997).

Almost surely, 2461465993 is an apocalyptic number.

It is an amenable number.

461465993 is a deficient number, since it is larger than the sum of its proper divisors (1).

461465993 is an equidigital number, since it uses as much as digits as its factorization.

461465993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 699840, while the sum is 47.

The square root of 461465993 is about 21481.7595415273. The cubic root of 461465993 is about 772.7634403468.

It can be divided in two parts, 4614 and 65993, that added together give a palindrome (70607).

The spelling of 461465993 in words is "four hundred sixty-one million, four hundred sixty-five thousand, nine hundred ninety-three".