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855938800 = 245219910753
BaseRepresentation
bin110011000001001…
…001011011110000
32012122121012022001
4303001021123300
53223110020200
6220533423344
730132234253
oct6301113360
92178535261
10855938800
113aa178542
121ba79ab54
1310843a482
148196b09a
155022676a
hex330496f0

855938800 has 60 divisors (see below), whose sum is σ = 2066918800. Its totient is φ = 340623360.

The previous prime is 855938789. The next prime is 855938801. The reversal of 855938800 is 8839558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855938801) 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 11 ways as a sum of consecutive naturals, for example, 74224 + ... + 84976.

Almost surely, 2855938800 is an apocalyptic number.

855938800 is a gapful number since it is divisible by the number (80) 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 855938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033459400).

855938800 is an abundant number, since it is smaller than the sum of its proper divisors (1210980000).

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

855938800 is a wasteful number, since it uses less digits than its factorization.

855938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 855938800 is about 29256.4317714926. The cubic root of 855938800 is about 949.4692510879.

The spelling of 855938800 in words is "eight hundred fifty-five million, nine hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 199 200 398 400 796 995 1592 1990 3184 3980 4975 7960 9950 10753 15920 19900 21506 39800 43012 53765 79600 86024 107530 172048 215060 268825 430120 537650 860240 1075300 2139847 2150600 4279694 4301200 8559388 10699235 17118776 21398470 34237552 42796940 53496175 85593880 106992350 171187760 213984700 427969400 855938800