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8247002085 = 325723979421
BaseRepresentation
bin1111010111000111…
…10100001111100101
3210021202012010001200
413223203310033211
5113342213031320
63442201513113
7411240234600
oct75343641745
923252163050
108247002085
113552243803
121721aa2799
13a157760ba
14583403337
1533403b290
hex1eb8f43e5

8247002085 has 72 divisors (see below), whose sum is σ = 16672304376. Its totient is φ = 3760162560.

The previous prime is 8247002083. The next prime is 8247002143. The reversal of 8247002085 is 5802007428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 812079009 + 7434923076 = 28497^2 + 86226^2 .

It is not a de Polignac number, because 8247002085 - 21 = 8247002083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8247002081) 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, 870675 + ... + 880095.

It is an arithmetic number, because the mean of its divisors is an integer number (231559783).

Almost surely, 28247002085 is an apocalyptic number.

It is an amenable number.

8247002085 is an abundant number, since it is smaller than the sum of its proper divisors (8425302291).

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

8247002085 is a wasteful number, since it uses less digits than its factorization.

8247002085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8247002085 is about 90813.0061444945. The cubic root of 8247002085 is about 2020.3752272430.

The spelling of 8247002085 in words is "eight billion, two hundred forty-seven million, two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 397 441 735 1191 1985 2205 2779 3573 5955 8337 9421 13895 17865 19453 25011 28263 41685 47105 58359 65947 84789 97265 125055 141315 175077 197841 291795 329735 423945 461629 593523 875385 989205 1384887 2308145 2967615 3740137 4154661 6924435 11220411 18700685 20773305 26180959 33661233 56102055 78542877 130904795 168306165 183266713 235628631 392714385 549800139 916333565 1178143155 1649400417 2749000695 8247002085