Search a number
-
+
461203993 is a prime number
BaseRepresentation
bin11011011111010…
…110101000011001
31012010211120221101
4123133112220121
51421032011433
6113433111401
714300112025
oct3337265031
91163746841
10461203993
11217379428
1210a558561
1374720593
1445377385
152a75307d
hex1b7d6a19

461203993 has 2 divisors, whose sum is σ = 461203994. Its totient is φ = 461203992.

The previous prime is 461203969. The next prime is 461204017. The reversal of 461203993 is 399302164.

It is a balanced prime because it is at equal distance from previous prime (461203969) and next prime (461204017).

It can be written as a sum of positive squares in only one way, i.e., 316555264 + 144648729 = 17792^2 + 12027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-461203993 is a prime.

It is not a weakly prime, because it can be changed into another prime (461203913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230601996 + 230601997.

It is an arithmetic number, because the mean of its divisors is an integer number (230601997).

Almost surely, 2461203993 is an apocalyptic number.

It is an amenable number.

461203993 is a deficient number, since it is larger than the sum of its proper divisors (1).

461203993 is an equidigital number, since it uses as much as digits as its factorization.

461203993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 461203993 is about 21475.6604787839. The cubic root of 461203993 is about 772.6171656821.

The spelling of 461203993 in words is "four hundred sixty-one million, two hundred three thousand, nine hundred ninety-three".