Search a number
-
+
427637813 is a prime number
BaseRepresentation
bin11001011111010…
…011110000110101
31002210200020210112
4121133103300311
51333433402223
6110233432405
713411601321
oct3137236065
91083606715
10427637813
111aa432689
12bb26b705
136a79a335
1440b1a981
1527822778
hex197d3c35

427637813 has 2 divisors, whose sum is σ = 427637814. Its totient is φ = 427637812.

The previous prime is 427637801. The next prime is 427637851. The reversal of 427637813 is 318736724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294396964 + 133240849 = 17158^2 + 11543^2 .

It is a cyclic number.

It is not a de Polignac number, because 427637813 - 28 = 427637557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427637893) 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, 213818906 + 213818907.

It is an arithmetic number, because the mean of its divisors is an integer number (213818907).

Almost surely, 2427637813 is an apocalyptic number.

It is an amenable number.

427637813 is a deficient number, since it is larger than the sum of its proper divisors (1).

427637813 is an equidigital number, since it uses as much as digits as its factorization.

427637813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 41.

The square root of 427637813 is about 20679.4055282061. The cubic root of 427637813 is about 753.3995676008.

The spelling of 427637813 in words is "four hundred twenty-seven million, six hundred thirty-seven thousand, eight hundred thirteen".