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806655465 = 325711232801
BaseRepresentation
bin110000000101001…
…001010111101001
32002012212100021100
4300011021113221
53123000433330
6212013232013
725663313130
oct6005112751
92065770240
10806655465
11384377210
121a6192609
13cb173335
14791bc917
154ac3e060
hex301495e9

806655465 has 48 divisors (see below), whose sum is σ = 1743221376. Its totient is φ = 335232000.

The previous prime is 806655461. The next prime is 806655511. The reversal of 806655465 is 564556608.

It is a happy number.

806655465 is a `hidden beast` number, since 80 + 66 + 55 + 465 = 666.

It is not a de Polignac number, because 806655465 - 22 = 806655461 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 806655465.

It is not an unprimeable number, because it can be changed into a prime (806655461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112936 + ... + 119865.

It is an arithmetic number, because the mean of its divisors is an integer number (36317112).

Almost surely, 2806655465 is an apocalyptic number.

It is an amenable number.

806655465 is an abundant number, since it is smaller than the sum of its proper divisors (936565911).

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

806655465 is a wasteful number, since it uses less digits than its factorization.

806655465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232830 (or 232827 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 806655465 is about 28401.6806721011. The cubic root of 806655465 is about 930.8849883096.

The spelling of 806655465 in words is "eight hundred six million, six hundred fifty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 232801 698403 1164005 1629607 2095209 2560811 3492015 4888821 7682433 8148035 10476045 12804055 14666463 17925677 23047299 24444105 38412165 53777031 73332315 89628385 115236495 161331093 268885155 806655465