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490096035 = 335111353479
BaseRepresentation
bin11101001101100…
…100010110100011
31021011012110101000
4131031210112203
52000431033120
6120344243043
715100514262
oct3515442643
91234173330
10490096035
11231712450
12118170483
137a6c8170
14491385d9
152d05d990
hex1d3645a3

490096035 has 128 divisors (see below), whose sum is σ = 1045094400. Its totient is φ = 214755840.

The previous prime is 490096007. The next prime is 490096039. The reversal of 490096035 is 530690094.

490096035 is a `hidden beast` number, since 49 + 0 + 0 + 9 + 603 + 5 = 666.

It is not a de Polignac number, because 490096035 - 25 = 490096003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (490096039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1022926 + ... + 1023404.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2490096035 is an apocalyptic number.

490096035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

490096035 is an abundant number, since it is smaller than the sum of its proper divisors (554998365).

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

490096035 is a wasteful number, since it uses less digits than its factorization.

490096035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 490096035 is about 22138.1127244397. The cubic root of 490096035 is about 788.4250173343.

The spelling of 490096035 in words is "four hundred ninety million, ninety-six thousand, thirty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 53 55 65 99 117 135 143 159 165 195 265 297 351 429 477 479 495 583 585 689 715 795 1287 1431 1437 1485 1749 1755 2067 2145 2385 2395 2915 3445 3861 4311 5247 5269 6201 6227 6435 7155 7185 7579 8745 10335 12933 15741 15807 18603 18681 19305 21555 22737 25387 26235 26345 31005 31135 37895 47421 56043 64665 68211 68497 76161 78705 79035 93015 93405 113685 126935 142263 168129 204633 205491 228483 237105 279257 280215 330031 341055 342485 380805 616473 685449 711315 837771 840645 990093 1023165 1027455 1142415 1396285 1650155 1849419 2513313 2970279 3082365 3427245 3630341 4188855 4950465 7539939 8910837 9247095 10891023 12566565 14851395 18151705 32673069 37699695 44554185 54455115 98019207 163365345 490096035