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850568850 = 234521032039
BaseRepresentation
bin110010101100101…
…010011010010010
32012021111101010000
4302230222122102
53220221200400
6220222350430
730035500365
oct6254523222
92167441100
10850568850
113a713aa6a
121b8a2b416
131072aa1a1
1480d700dc
154ea15600
hex32b2a692

850568850 has 120 divisors (see below), whose sum is σ = 2387436480. Its totient is φ = 224506080.

The previous prime is 850568843. The next prime is 850568861. The reversal of 850568850 is 58865058.

850568850 is a `hidden beast` number, since 8 + 5 + 0 + 568 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 850568796 and 850568805.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 416131 + ... + 418169.

It is an arithmetic number, because the mean of its divisors is an integer number (19895304).

Almost surely, 2850568850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850568850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193718240).

850568850 is an abundant number, since it is smaller than the sum of its proper divisors (1536867630).

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

850568850 is a wasteful number, since it uses less digits than its factorization.

850568850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 850568850 is about 29164.5135395741. The cubic root of 850568850 is about 947.4795051760.

The spelling of 850568850 in words is "eight hundred fifty million, five hundred sixty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 103 135 150 162 206 225 270 309 405 450 515 618 675 810 927 1030 1350 1545 1854 2025 2039 2575 2781 3090 4050 4078 4635 5150 5562 6117 7725 8343 9270 10195 12234 13905 15450 16686 18351 20390 23175 27810 30585 36702 41715 46350 50975 55053 61170 69525 83430 91755 101950 110106 139050 152925 165159 183510 208575 210017 275265 305850 330318 417150 420034 458775 550530 630051 825795 917550 1050085 1260102 1376325 1651590 1890153 2100170 2752650 3150255 3780306 4128975 5250425 5670459 6300510 8257950 9450765 10500850 11340918 15751275 17011377 18901530 28352295 31502550 34022754 47253825 56704590 85056885 94507650 141761475 170113770 283522950 425284425 850568850