Search a number
-
+
8249386085 = 517192268841
BaseRepresentation
bin1111010111011001…
…11010010001100101
3210021220200020021222
413223230322101211
5113343320323320
63442324550125
7411266424203
oct75354722145
923256606258
108249386085
113553621956
121722852345
13a160cc255
14583864073
1533435c825
hex1ebb3a465

8249386085 has 24 divisors (see below), whose sum is σ = 11062310616. Its totient is φ = 5884369920.

The previous prime is 8249386063. The next prime is 8249386151. The reversal of 8249386085 is 5806839428.

It can be written as a sum of positive squares in 4 ways, for example, as 278289124 + 7971096961 = 16682^2 + 89281^2 .

It is not a de Polignac number, because 8249386085 - 216 = 8249320549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103736 + ... + 165105.

It is an arithmetic number, because the mean of its divisors is an integer number (460929609).

Almost surely, 28249386085 is an apocalyptic number.

8249386085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8249386085 is a deficient number, since it is larger than the sum of its proper divisors (2812924531).

8249386085 is a wasteful number, since it uses less digits than its factorization.

8249386085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268901 (or 268882 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The square root of 8249386085 is about 90826.1310692028. The cubic root of 8249386085 is about 2020.5698883028.

The spelling of 8249386085 in words is "eight billion, two hundred forty-nine million, three hundred eighty-six thousand, eighty-five".

Divisors: 1 5 17 19 85 95 323 361 1615 1805 6137 30685 268841 1344205 4570297 5107979 22851485 25539895 86835643 97051601 434178215 485258005 1649877217 8249386085