Search a number
-
+
427927301 is a prime number
BaseRepresentation
bin11001100000011…
…010011100000101
31002211012221220022
4121200122130011
51334022133201
6110243544525
713414215314
oct3140323405
91084187808
10427927301
111aa61012a
12bb38b145
136a86c029
1440b9427b
152787d41b
hex1981a705

427927301 has 2 divisors, whose sum is σ = 427927302. Its totient is φ = 427927300.

The previous prime is 427927267. The next prime is 427927307. The reversal of 427927301 is 103729724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414163201 + 13764100 = 20351^2 + 3710^2 .

It is a cyclic number.

It is not a de Polignac number, because 427927301 - 222 = 423732997 is a prime.

It is a super-2 number, since 2×4279273012 = 366243549882289202, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427927307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213963650 + 213963651.

It is an arithmetic number, because the mean of its divisors is an integer number (213963651).

Almost surely, 2427927301 is an apocalyptic number.

It is an amenable number.

427927301 is a deficient number, since it is larger than the sum of its proper divisors (1).

427927301 is an equidigital number, since it uses as much as digits as its factorization.

427927301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 427927301 is about 20686.4037715597. The cubic root of 427927301 is about 753.5695330340.

The spelling of 427927301 in words is "four hundred twenty-seven million, nine hundred twenty-seven thousand, three hundred one".