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505649976 = 23313731492
BaseRepresentation
bin11110001000111…
…001101100111000
31022020110200100220
4132020321230320
52013421244401
6122101500040
715346645116
oct3610715470
91266420326
10505649976
1123a476347
12121411620
13809b2990
144b226ab6
152e5d2336
hex1e239b38

505649976 has 96 divisors (see below), whose sum is σ = 1389338160. Its totient is φ = 152423424.

The previous prime is 505649953. The next prime is 505649981. The reversal of 505649976 is 679946505.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3393550 + ... + 3393698.

Almost surely, 2505649976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505649976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694669080).

505649976 is an abundant number, since it is smaller than the sum of its proper divisors (883688184).

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

505649976 is a wasteful number, since it uses less digits than its factorization.

505649976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 505649976 is about 22486.6621800569. The cubic root of 505649976 is about 796.6789280124.

The spelling of 505649976 in words is "five hundred five million, six hundred forty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 149 156 219 292 298 312 438 447 584 596 876 894 949 1192 1752 1788 1898 1937 2847 3576 3796 3874 5694 5811 7592 7748 10877 11388 11622 15496 21754 22201 22776 23244 32631 43508 44402 46488 65262 66603 87016 88804 130524 133206 141401 177608 261048 266412 282802 288613 424203 532824 565604 577226 848406 865839 1131208 1154452 1620673 1696812 1731678 2308904 3241346 3393624 3463356 4862019 6482692 6926712 9724038 12965384 19448076 21068749 38896152 42137498 63206247 84274996 126412494 168549992 252824988 505649976