Search a number
-
+
427073593 is a prime number
BaseRepresentation
bin11001011101001…
…010000000111001
31002202121120211111
4121131022000321
51333312323333
6110213400321
713404031342
oct3135120071
91082546744
10427073593
111aa087791
12bb0390a1
136a63058b
1440a110c9
15277604cd
hex1974a039

427073593 has 2 divisors, whose sum is σ = 427073594. Its totient is φ = 427073592.

The previous prime is 427073587. The next prime is 427073693. The reversal of 427073593 is 395370724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 381538089 + 45535504 = 19533^2 + 6748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427073593 is a prime.

It is not a weakly prime, because it can be changed into another prime (427073503) 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, 213536796 + 213536797.

It is an arithmetic number, because the mean of its divisors is an integer number (213536797).

Almost surely, 2427073593 is an apocalyptic number.

It is an amenable number.

427073593 is a deficient number, since it is larger than the sum of its proper divisors (1).

427073593 is an equidigital number, since it uses as much as digits as its factorization.

427073593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 427073593 is about 20665.7589504959. The cubic root of 427073593 is about 753.0680797715.

The spelling of 427073593 in words is "four hundred twenty-seven million, seventy-three thousand, five hundred ninety-three".