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850000208 = 242917310589
BaseRepresentation
bin110010101010011…
…111100101010000
32012020102111002012
4302222133211100
53220100001313
6220202242052
730030611501
oct6252374520
92166374065
10850000208
113a6891812
121b87b6328
1310713b405
1480c62ba8
154e951da8
hex32a9f950

850000208 has 40 divisors (see below), whose sum is σ = 1713673800. Its totient is φ = 407934464.

The previous prime is 850000201. The next prime is 850000211. The reversal of 850000208 is 802000058.

850000208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153462544 + 696537664 = 12388^2 + 26392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850000201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74978 + ... + 85566.

It is an arithmetic number, because the mean of its divisors is an integer number (42841845).

Almost surely, 2850000208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856836900).

850000208 is an abundant number, since it is smaller than the sum of its proper divisors (863673592).

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

850000208 is a wasteful number, since it uses less digits than its factorization.

850000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 850000208 is about 29154.7630413969. The cubic root of 850000208 is about 947.2683144533.

The spelling of 850000208 in words is "eight hundred fifty million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 58 116 173 232 346 464 692 1384 2768 5017 10034 10589 20068 21178 40136 42356 80272 84712 169424 307081 614162 1228324 1831897 2456648 3663794 4913296 7327588 14655176 29310352 53125013 106250026 212500052 425000104 850000208