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505402331 = 73111320611
BaseRepresentation
bin11110000111111…
…101001111011011
31022020000002122212
4132013331033123
52013340333311
6122052305335
715344564120
oct3607751733
91266002585
10505402331
1123a317285
1212131224b
1380927045
144b1a0747
152e583c8b
hex1e1fd3db

505402331 has 16 divisors (see below), whose sum is σ = 601540608. Its totient is φ = 415497600.

The previous prime is 505402307. The next prime is 505402361. The reversal of 505402331 is 133204505.

It is not a de Polignac number, because 505402331 - 26 = 505402267 is a prime.

It is a super-2 number, since 2×5054023312 = 510863032360467122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505402297 and 505402306.

It is not an unprimeable number, because it can be changed into a prime (505402361) 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, 14216 + ... + 34826.

It is an arithmetic number, because the mean of its divisors is an integer number (37596288).

Almost surely, 2505402331 is an apocalyptic number.

505402331 is a deficient number, since it is larger than the sum of its proper divisors (96138277).

505402331 is a wasteful number, since it uses less digits than its factorization.

505402331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20762.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 505402331 is about 22481.1550192600. The cubic root of 505402331 is about 796.5488474034.

Adding to 505402331 its reverse (133204505), we get a palindrome (638606836).

The spelling of 505402331 in words is "five hundred five million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 7 31 113 217 791 3503 20611 24521 144277 638941 2329043 4472587 16303301 72200333 505402331