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505430431 = 1129743063
BaseRepresentation
bin11110001000000…
…100000110011111
31022020001112012121
4132020010012133
52013342233211
6122053043411
715345042052
oct3610040637
91266045177
10505430431
1123a336400
12121326567
1380936a7c
144b1aaa99
152e58c271
hex1e20419f

505430431 has 12 divisors (see below), whose sum is σ = 561296176. Its totient is φ = 454734720.

The previous prime is 505430407. The next prime is 505430437. The reversal of 505430431 is 134034505.

It is not a de Polignac number, because 505430431 - 211 = 505428383 is a prime.

It is a super-2 number, since 2×5054304312 = 510919841161691522, 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 = 505430396 and 505430405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505430437) 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 11 ways as a sum of consecutive naturals, for example, 9795 + ... + 33268.

Almost surely, 2505430431 is an apocalyptic number.

505430431 is a deficient number, since it is larger than the sum of its proper divisors (55865745).

505430431 is a wasteful number, since it uses less digits than its factorization.

505430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43182 (or 43171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 505430431 is about 22481.7799784626. The cubic root of 505430431 is about 796.5636096410.

Adding to 505430431 its reverse (134034505), we get a palindrome (639464936).

The spelling of 505430431 in words is "five hundred five million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 11 97 121 1067 11737 43063 473693 4177111 5210623 45948221 505430431