Search a number
-
+
538630785 = 325721153419
BaseRepresentation
bin100000000110101…
…101101010000001
31101112112021112100
4200012231222001
52100342141120
6125240421013
716230200100
oct4006555201
91345467470
10538630785
11257052310
12130477769
138778c654
1451770037
1532449490
hex201ada81

538630785 has 144 divisors (see below), whose sum is σ = 1210023360. Its totient is φ = 219098880.

The previous prime is 538630777. The next prime is 538630801. The reversal of 538630785 is 587036835.

538630785 is a `hidden beast` number, since 5 + 3 + 8 + 630 + 7 + 8 + 5 = 666.

It is not a de Polignac number, because 538630785 - 23 = 538630777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 538630785.

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 143 ways as a sum of consecutive naturals, for example, 1285306 + ... + 1285724.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2538630785 is an apocalyptic number.

538630785 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

538630785 is an abundant number, since it is smaller than the sum of its proper divisors (671392575).

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

538630785 is a wasteful number, since it uses less digits than its factorization.

538630785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 538630785 is about 23208.4205623735. The cubic root of 538630785 is about 813.6364392346.

The spelling of 538630785 in words is "five hundred thirty-eight million, six hundred thirty thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 53 55 63 77 99 105 147 159 165 231 245 265 315 371 385 419 441 477 495 539 583 693 735 795 1113 1155 1257 1617 1749 1855 2095 2205 2385 2597 2695 2915 2933 3339 3465 3771 4081 4609 4851 5247 5565 6285 7791 8085 8745 8799 12243 12985 13827 14665 16695 18855 20405 20531 22207 23045 23373 24255 26235 26397 28567 32263 36729 38955 41481 43995 61215 61593 66621 69135 85701 96789 102655 111035 116865 131985 142835 155449 161315 183645 184779 199863 207405 225841 244277 257103 290367 307965 333105 428505 466347 483945 677523 732831 777245 923895 999315 1088143 1129205 1221385 1285515 1399041 1451835 1709939 2032569 2198493 2331735 3264429 3387615 3664155 5129817 5440715 6995205 8549695 9793287 10162845 10992465 11969573 15389451 16322145 25649085 35908719 48966435 59847865 76947255 107726157 179543595 538630785