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850000008 = 2331113534673
BaseRepresentation
bin110010101010011…
…111100010001000
32012020102110210210
4302222133202020
53220100000013
6220202241120
730030611064
oct6252374210
92166373723
10850000008
113a6891650
121b87b61a0
1310713b2b0
1480c62aa4
154e951cc3
hex32a9f888

850000008 has 128 divisors (see below), whose sum is σ = 2544151680. Its totient is φ = 233226240.

The previous prime is 849999977. The next prime is 850000013. The reversal of 850000008 is 800000058.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179560 + ... + 184232.

It is an arithmetic number, because the mean of its divisors is an integer number (19876185).

Almost surely, 2850000008 is an apocalyptic number.

850000008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272075840).

850000008 is an abundant number, since it is smaller than the sum of its proper divisors (1694151672).

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

850000008 is a wasteful number, since it uses less digits than its factorization.

850000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 850000008 is about 29154.7596114254. The cubic root of 850000008 is about 947.2682401577.

The spelling of 850000008 in words is "eight hundred fifty million, eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 53 66 78 88 104 106 132 143 156 159 212 264 286 312 318 424 429 572 583 636 689 858 1144 1166 1272 1378 1716 1749 2067 2332 2756 3432 3498 4134 4664 4673 5512 6996 7579 8268 9346 13992 14019 15158 16536 18692 22737 28038 30316 37384 45474 51403 56076 60632 60749 90948 102806 112152 121498 154209 181896 182247 205612 242996 247669 308418 364494 411224 485992 495338 616836 668239 728988 743007 990676 1233672 1336478 1457976 1486014 1981352 2004717 2672956 2724359 2972028 3219697 4009434 5345912 5448718 5944056 6439394 8018868 8173077 9659091 10897436 12878788 16037736 16346154 19318182 21794872 25757576 32692308 35416667 38636364 65384616 70833334 77272728 106250001 141666668 212500002 283333336 425000004 850000008