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495761805 = 325711213007
BaseRepresentation
bin11101100011001…
…011100110001101
31021112212022100100
4131203023212031
52003403334210
6121105521313
715166622460
oct3543134615
91245768310
10495761805
11234932200
1211a043239
137b92cca6
1449bb12d7
152d7cc5c0
hex1d8cb98d

495761805 has 72 divisors (see below), whose sum is σ = 1079559936. Its totient is φ = 206015040.

The previous prime is 495761797. The next prime is 495761807. The reversal of 495761805 is 508167594.

It is not a de Polignac number, because 495761805 - 23 = 495761797 is a prime.

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 (495761807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31612 + ... + 44618.

It is an arithmetic number, because the mean of its divisors is an integer number (14993888).

Almost surely, 2495761805 is an apocalyptic number.

495761805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495761805 is an abundant number, since it is smaller than the sum of its proper divisors (583798131).

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

495761805 is a wasteful number, since it uses less digits than its factorization.

495761805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 495761805 is about 22265.7091735251. The cubic root of 495761805 is about 791.4515879381.

The spelling of 495761805 in words is "four hundred ninety-five million, seven hundred sixty-one thousand, eight hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1815 2541 3465 4235 5445 7623 12705 13007 38115 39021 65035 91049 117063 143077 195105 273147 429231 455245 585315 715385 819441 1001539 1287693 1365735 1573847 2146155 3004617 4097205 4721541 5007695 6438465 7869235 9013851 11016929 14164623 15023085 23607705 33050787 45069255 55084645 70823115 99152361 165253935 495761805