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509982795 = 325723431637
BaseRepresentation
bin11110011001011…
…011100001001011
31022112121210212200
4132121123201023
52021023422140
6122334411243
715431532210
oct3631334113
91275553780
10509982795
11241965693
12122960b23
138186bb8a
144ba33b07
152eb8b030
hex1e65b84b

509982795 has 96 divisors (see below), whose sum is σ = 1079350272. Its totient is φ = 217679616.

The previous prime is 509982787. The next prime is 509982817. The reversal of 509982795 is 597289905.

It is not a de Polignac number, because 509982795 - 23 = 509982787 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310717 + ... + 312353.

It is an arithmetic number, because the mean of its divisors is an integer number (11243232).

Almost surely, 2509982795 is an apocalyptic number.

509982795 is an abundant number, since it is smaller than the sum of its proper divisors (569367477).

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

509982795 is a wasteful number, since it uses less digits than its factorization.

509982795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 509982795 is about 22582.7986529571. The cubic root of 509982795 is about 798.9479895949.

The spelling of 509982795 in words is "five hundred nine million, nine hundred eighty-two thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 43 45 63 69 105 115 129 161 207 215 301 315 345 387 483 645 805 903 989 1035 1449 1505 1637 1935 2415 2709 2967 4515 4911 4945 6923 7245 8185 8901 11459 13545 14733 14835 20769 24555 34377 34615 37651 44505 57295 62307 70391 73665 103131 103845 112953 171885 188255 211173 263557 311535 338859 351955 492737 515655 564765 633519 790671 1055865 1317785 1478211 1618993 1694295 2372013 2463685 3167595 3953355 4434633 4856979 7391055 8094965 11332951 11860065 14570937 22173165 24284895 33998853 56664755 72854685 101996559 169994265 509982795