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800163312 = 243136719139
BaseRepresentation
bin101111101100011…
…000010111110000
32001202122111201020
4233230120113300
53114320211222
6211222135440
725554163434
oct5754302760
92052574636
10800163312
113807425a3
121a3b81580
13c9a0c320
14783ac9c4
154a3aa65c
hex2fb185f0

800163312 has 80 divisors (see below), whose sum is σ = 2259438720. Its totient is φ = 242516736.

The previous prime is 800163281. The next prime is 800163317. The reversal of 800163312 is 213361008.

It is a super-2 number, since 2×8001633122 = 1280522651741618688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800163317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32239 + ... + 51377.

It is an arithmetic number, because the mean of its divisors is an integer number (28242984).

Almost surely, 2800163312 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 800163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129719360).

800163312 is an abundant number, since it is smaller than the sum of its proper divisors (1459275408).

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

800163312 is a wasteful number, since it uses less digits than its factorization.

800163312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19230 (or 19224 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 800163312 is about 28287.1580757064. The cubic root of 800163312 is about 928.3809313542.

The spelling of 800163312 in words is "eight hundred million, one hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 19139 20904 38278 41808 57417 76556 114834 153112 229668 248807 306224 459336 497614 746421 918672 995228 1282313 1492842 1990456 2564626 2985684 3846939 3980912 5129252 5971368 7693878 10258504 11942736 15387756 16670069 20517008 30775512 33340138 50010207 61551024 66680276 100020414 133360552 200040828 266721104 400081656 800163312