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506284431 = 31937240059
BaseRepresentation
bin11110001011010…
…100100110001111
31022021122220200020
4132023110212033
52014102100211
6122123233223
715355226622
oct3613244617
91267586606
10506284431
1123a869a94
12121678813
1380b756b3
144b34ddb9
152e6aa306
hex1e2d498f

506284431 has 16 divisors (see below), whose sum is σ = 729782400. Its totient is φ = 311115168.

The previous prime is 506284403. The next prime is 506284439. The reversal of 506284431 is 134482605.

It is not a de Polignac number, because 506284431 - 211 = 506282383 is a prime.

It is a super-2 number, since 2×5062844312 = 512647850145987522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506284392 and 506284401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506284439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117921 + ... + 122138.

It is an arithmetic number, because the mean of its divisors is an integer number (45611400).

Almost surely, 2506284431 is an apocalyptic number.

506284431 is a deficient number, since it is larger than the sum of its proper divisors (223497969).

506284431 is a wasteful number, since it uses less digits than its factorization.

506284431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240118.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 506284431 is about 22500.7651203242. The cubic root of 506284431 is about 797.0119948216.

The spelling of 506284431 in words is "five hundred six million, two hundred eighty-four thousand, four hundred thirty-one".

Divisors: 1 3 19 37 57 111 703 2109 240059 720177 4561121 8882183 13683363 26646549 168761477 506284431