Search a number
-
+
427605133 is a prime number
BaseRepresentation
bin11001011111001…
…011110010001101
31002210121120222011
4121133023302031
51333431331013
6110233021221
713411404124
oct3137136215
91083546864
10427605133
111aa41007a
12bb254811
136a7884b7
1440b0cabb
1527817c3d
hex197cbc8d

427605133 has 2 divisors, whose sum is σ = 427605134. Its totient is φ = 427605132.

The previous prime is 427605109. The next prime is 427605149. The reversal of 427605133 is 331506724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274167364 + 153437769 = 16558^2 + 12387^2 .

It is a cyclic number.

It is not a de Polignac number, because 427605133 - 213 = 427596941 is a prime.

It is a super-2 number, since 2×4276051332 = 365692299535895378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 427605095 and 427605104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427605163) 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, 213802566 + 213802567.

It is an arithmetic number, because the mean of its divisors is an integer number (213802567).

Almost surely, 2427605133 is an apocalyptic number.

It is an amenable number.

427605133 is a deficient number, since it is larger than the sum of its proper divisors (1).

427605133 is an equidigital number, since it uses as much as digits as its factorization.

427605133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 427605133 is about 20678.6153549990. The cubic root of 427605133 is about 753.3803755615.

The spelling of 427605133 in words is "four hundred twenty-seven million, six hundred five thousand, one hundred thirty-three".