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420256917 = 3411934349
BaseRepresentation
bin11001000011001…
…001110010010101
31002021210021010000
4121003021302111
51330041210132
6105411321513
713262060553
oct3103116225
91067707100
10420256917
111a6251273
12b88b0299
13690b4942
143db58bd3
1526d6587c
hex190c9c95

420256917 has 20 divisors (see below), whose sum is σ = 628461900. Its totient is φ = 279872064.

The previous prime is 420256913. The next prime is 420256927. The reversal of 420256917 is 719652024.

It can be written as a sum of positive squares in 2 ways, for example, as 87778161 + 332478756 = 9369^2 + 18234^2 .

It is not a de Polignac number, because 420256917 - 22 = 420256913 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420256913) 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 in 19 ways as a sum of consecutive naturals, for example, 94459 + ... + 98807.

It is an arithmetic number, because the mean of its divisors is an integer number (31423095).

Almost surely, 2420256917 is an apocalyptic number.

It is an amenable number.

420256917 is a deficient number, since it is larger than the sum of its proper divisors (208204983).

420256917 is a wasteful number, since it uses less digits than its factorization.

420256917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 420256917 is about 20500.1687066229. The cubic root of 420256917 is about 749.0399074876.

The spelling of 420256917 in words is "four hundred twenty million, two hundred fifty-six thousand, nine hundred seventeen".

Divisors: 1 3 9 27 81 1193 3579 4349 10737 13047 32211 39141 96633 117423 352269 5188357 15565071 46695213 140085639 420256917