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495565560 = 23335765551
BaseRepresentation
bin11101100010011…
…011101011111000
31021112111100011000
4131202123223320
52003331044220
6121101405000
715165144360
oct3542335370
91245440130
10495565560
11234808816
12119b69760
137b891879
1449b5d9a0
152d78e390
hex1d89baf8

495565560 has 128 divisors (see below), whose sum is σ = 1887897600. Its totient is φ = 113270400.

The previous prime is 495565559. The next prime is 495565561. The reversal of 495565560 is 65565594.

495565560 is a `hidden beast` number, since 4 + 95 + 5 + 6 + 556 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495565559) and next prime (495565561).

It is a super-2 number, since 2×4955655602 = 491170448516227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495565561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25216 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (14749200).

Almost surely, 2495565560 is an apocalyptic number.

495565560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495565560 is an abundant number, since it is smaller than the sum of its proper divisors (1392332040).

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

495565560 is a wasteful number, since it uses less digits than its factorization.

495565560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65578 (or 65568 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 495565560 is about 22261.3018487239. The cubic root of 495565560 is about 791.3471433481.

The spelling of 495565560 in words is "four hundred ninety-five million, five hundred sixty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 65551 131102 196653 262204 327755 393306 458857 524408 589959 655510 786612 917714 983265 1179918 1311020 1376571 1573224 1769877 1835428 1966530 2294285 2359836 2622040 2753142 2949795 3539754 3670856 3933060 4129713 4588570 4719672 5506284 5899590 6882855 7079508 7866120 8259426 8849385 9177140 11012568 11799180 12389139 13765710 14159016 16518852 17698770 18354280 20648565 23598360 24778278 27531420 33037704 35397540 41297130 49556556 55062840 61945695 70795080 82594260 99113112 123891390 165188520 247782780 495565560