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809018028 = 2232721335279
BaseRepresentation
bin110000001110001…
…010001010101100
32002101022101002200
4300032022022230
53124102034103
6212140021500
726022353100
oct6016121254
92071271080
10809018028
11385740245
121a6b31890
13cb7bc7c0
1479635900
154b0590a3
hex3038a2ac

809018028 has 108 divisors (see below), whose sum is σ = 2561963040. Its totient is φ = 213361344.

The previous prime is 809018009. The next prime is 809018029. The reversal of 809018028 is 820810908.

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

It is a junction number, because it is equal to n+sod(n) for n = 809017983 and 809018001.

It is not an unprimeable number, because it can be changed into a prime (809018029) 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, 5293 + ... + 40571.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880).

Almost surely, 2809018028 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 809018028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280981520).

809018028 is an abundant number, since it is smaller than the sum of its proper divisors (1752945012).

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

809018028 is a wasteful number, since it uses less digits than its factorization.

809018028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35316 (or 35304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 809018028 is about 28443.2422202533. The cubic root of 809018028 is about 931.7929062112.

The spelling of 809018028 in words is "eight hundred nine million, eighteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 35279 70558 105837 141116 211674 246953 317511 423348 458627 493906 635022 740859 917254 987812 1270044 1375881 1481718 1728671 1834508 2222577 2751762 2963436 3210389 3457342 4127643 4445154 5186013 5503524 6420778 6914684 8255286 8890308 9631167 10372026 12841556 15558039 16510572 19262334 20744052 22472723 28893501 31116078 38524668 44945446 57787002 62232156 67418169 89890892 115574004 134836338 202254507 269672676 404509014 809018028