Search a number
-
+
812227728 = 2431311311519
BaseRepresentation
bin110000011010011…
…001110010010000
32002121100102222110
4300122121302100
53130412241403
6212332505320
726061551604
oct6032316220
92077312873
10812227728
11387532794
121a801b240
13cc374730
1479c2d504
154b490103
hex30699c90

812227728 has 80 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 247683072.

The previous prime is 812227723. The next prime is 812227733. The reversal of 812227728 is 827722218.

It is an interprime number because it is at equal distance from previous prime (812227723) and next prime (812227733).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (812227723) 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, 64753 + ... + 76271.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2812227728 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 812227728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

812227728 is an abundant number, since it is smaller than the sum of its proper divisors (1467626352).

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

812227728 is a wasteful number, since it uses less digits than its factorization.

812227728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11650 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 812227728 is about 28499.6092604793. The cubic root of 812227728 is about 933.0235459411.

The spelling of 812227728 in words is "eight hundred twelve million, two hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1356 1469 1808 2712 2938 4407 5424 5876 8814 11519 11752 17628 23038 23504 34557 35256 46076 69114 70512 92152 138228 149747 184304 276456 299494 449241 552912 598988 898482 1197976 1301647 1796964 2395952 2603294 3593928 3904941 5206588 7187856 7809882 10413176 15619764 16921411 20826352 31239528 33842822 50764233 62479056 67685644 101528466 135371288 203056932 270742576 406113864 812227728