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495534105 = 3651117727
BaseRepresentation
bin11101100010010…
…100000000011001
31021112102202000000
4131202110000121
52003324042410
6121101003213
715164653563
oct3542240031
91245382000
10495534105
11234797120
12119b53509
137b880461
1449b52333
152d784dc0
hex1d894019

495534105 has 112 divisors (see below), whose sum is σ = 1031232384. Its totient is φ = 225815040.

The previous prime is 495534089. The next prime is 495534157. The reversal of 495534105 is 501435594.

It is not a de Polignac number, because 495534105 - 24 = 495534089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 495534105.

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 111 ways as a sum of consecutive naturals, for example, 681252 + ... + 681978.

It is an arithmetic number, because the mean of its divisors is an integer number (9207432).

Almost surely, 2495534105 is an apocalyptic number.

495534105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495534105 is an abundant number, since it is smaller than the sum of its proper divisors (535698279).

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

495534105 is a wasteful number, since it uses less digits than its factorization.

495534105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 495534105 is about 22260.5953424431. The cubic root of 495534105 is about 791.3303999522.

Adding to 495534105 its reverse (501435594), we get a palindrome (996969699).

It can be divided in two parts, 4955 and 34105, that added together give a triangular number (39060 = T279).

The spelling of 495534105 in words is "four hundred ninety-five million, five hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 243 255 297 405 459 495 561 727 729 765 891 935 1215 1377 1485 1683 2181 2295 2673 2805 3635 3645 4131 4455 5049 6543 6885 7997 8019 8415 10905 12359 12393 13365 15147 19629 20655 23991 25245 32715 37077 39985 40095 45441 58887 61795 61965 71973 75735 98145 111231 119955 135949 136323 176661 185385 215919 227205 294435 333693 359865 407847 529983 556155 647757 679745 681615 883305 1001079 1079595 1223541 1668465 1943271 2039235 2649915 3003237 3238785 3670623 5005395 5829813 6117705 9009711 9716355 11011869 15016185 18353115 29149065 33035607 45048555 55059345 99106821 165178035 495534105