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850800852 = 22321121731129
BaseRepresentation
bin110010101101100…
…011000011010100
32012021221011100200
4302231203003110
53220301111402
6220231340500
730040454646
oct6255430324
92167834320
10850800852
113a7289300
121b8b21730
1310735b975
1480dd0896
154ea5e21c
hex32b630d4

850800852 has 108 divisors (see below), whose sum is σ = 2379691860. Its totient is φ = 256101120.

The previous prime is 850800851. The next prime is 850800857. The reversal of 850800852 is 258008058.

It can be written as a sum of positive squares in 2 ways, for example, as 421316676 + 429484176 = 20526^2 + 20724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850800851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 753024 + ... + 754152.

Almost surely, 2850800852 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 850800852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189845930).

850800852 is an abundant number, since it is smaller than the sum of its proper divisors (1528891008).

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

850800852 is a wasteful number, since it uses less digits than its factorization.

850800852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 850800852 is about 29168.4907391521. The cubic root of 850800852 is about 947.5656424936.

The spelling of 850800852 in words is "eight hundred fifty million, eight hundred thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 173 198 242 346 363 396 484 519 692 726 1038 1089 1129 1452 1557 1903 2076 2178 2258 3114 3387 3806 4356 4516 5709 6228 6774 7612 10161 11418 12419 13548 17127 20322 20933 22836 24838 34254 37257 40644 41866 49676 62799 68508 74514 83732 111771 125598 136609 149028 188397 195317 223542 251196 273218 376794 390634 409827 447084 546436 585951 753588 781268 819654 1171902 1229481 1639308 1757853 2148487 2343804 2458962 3515706 4296974 4917924 6445461 7031412 8593948 12890922 19336383 23633357 25781844 38672766 47266714 70900071 77345532 94533428 141800142 212700213 283600284 425400426 850800852