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505643274 = 2321761103263
BaseRepresentation
bin11110001000111…
…000000100001010
31022020110100011200
4132020320010022
52013421041044
6122101405030
715346616433
oct3610700412
91266410150
10505643274
1123a471304
12121409776
13809ac906
144b22448a
152e5d0369
hex1e23810a

505643274 has 96 divisors (see below), whose sum is σ = 1194994944. Its totient is φ = 153930240.

The previous prime is 505643251. The next prime is 505643309. The reversal of 505643274 is 472346505.

505643274 is a `hidden beast` number, since 5 + 0 + 5 + 643 + 2 + 7 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922467 + ... + 1922729.

It is an arithmetic number, because the mean of its divisors is an integer number (12447864).

Almost surely, 2505643274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505643274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597497472).

505643274 is an abundant number, since it is smaller than the sum of its proper divisors (689351670).

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

505643274 is a wasteful number, since it uses less digits than its factorization.

505643274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 505643274 is about 22486.5131578909. The cubic root of 505643274 is about 796.6754082089.

Adding to 505643274 its reverse (472346505), we get a palindrome (977989779).

The spelling of 505643274 in words is "five hundred five million, six hundred forty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 103 122 153 183 206 263 306 309 366 526 549 618 789 927 1037 1098 1578 1751 1854 2074 2367 3111 3502 4471 4734 5253 6222 6283 8942 9333 10506 12566 13413 15759 16043 18666 18849 26826 27089 31518 32086 37698 40239 48129 54178 56547 80478 81267 96258 106811 113094 144387 162534 213622 243801 272731 288774 320433 460513 487602 545462 640866 818193 921026 961299 1381539 1636386 1652429 1922598 2454579 2763078 3304858 4144617 4909158 4957287 8289234 9914574 14871861 28091293 29743722 56182586 84273879 168547758 252821637 505643274