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505646331 = 34311813319
BaseRepresentation
bin11110001000111…
…000110011111011
31022020110111100220
4132020320303323
52013421140311
6122101431123
715346631361
oct3610706373
91266414326
10505646331
1123a473633
1212140b4a3
13809b1118
144b225631
152e5d1206
hex1e238cfb

505646331 has 16 divisors (see below), whose sum is σ = 690666240. Its totient is φ = 328880160.

The previous prime is 505646327. The next prime is 505646347. The reversal of 505646331 is 133646505.

It is not a de Polignac number, because 505646331 - 22 = 505646327 is a prime.

It is a super-2 number, since 2×5056463312 = 511356424107523122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505646292 and 505646301.

It is not an unprimeable number, because it can be changed into a prime (505646381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150690 + ... + 154008.

It is an arithmetic number, because the mean of its divisors is an integer number (43166640).

Almost surely, 2505646331 is an apocalyptic number.

505646331 is a deficient number, since it is larger than the sum of its proper divisors (185019909).

505646331 is a wasteful number, since it uses less digits than its factorization.

505646331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 505646331 is about 22486.5811318662. The cubic root of 505646331 is about 796.6770137095.

The spelling of 505646331 in words is "five hundred five million, six hundred forty-six thousand, three hundred thirty-one".

Divisors: 1 3 43 129 1181 3319 3543 9957 50783 142717 152349 428151 3919739 11759217 168548777 505646331