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505412068 = 22727093637
BaseRepresentation
bin11110000111111…
…111100111100100
31022020000121000111
4132013333213210
52013341141233
6122052422404
715344634400
oct3607774744
91266017014
10505412068
1123a323627
12121317a04
138092b5c5
144b1a4100
152e586acd
hex1e1ff9e4

505412068 has 36 divisors (see below), whose sum is σ = 1030609020. Its totient is φ = 216240192.

The previous prime is 505412053. The next prime is 505412071. The reversal of 505412068 is 860214505.

It can be written as a sum of positive squares in 2 ways, for example, as 35736484 + 469675584 = 5978^2 + 21672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137146 + ... + 140782.

Almost surely, 2505412068 is an apocalyptic number.

It is an amenable number.

505412068 is an abundant number, since it is smaller than the sum of its proper divisors (525196952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505412068 is a wasteful number, since it uses less digits than its factorization.

505412068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 505412068 is about 22481.3715773749. The cubic root of 505412068 is about 796.5539627646.

The spelling of 505412068 in words is "five hundred five million, four hundred twelve thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 709 1418 2836 3637 4963 7274 9926 14548 19852 25459 34741 50918 69482 101836 138964 178213 356426 712852 2578633 5157266 10314532 18050431 36100862 72201724 126353017 252706034 505412068