Search a number
-
+
803282250 = 235341151173
BaseRepresentation
bin101111111000010…
…001110101001010
32001222111222002110
4233320101311022
53121120013000
6211413043150
725622533521
oct5770216512
92058458073
10803282250
11382482931
121a50264b6
13ca561b54
14789814b8
154a7c4850
hex2fe11d4a

803282250 has 128 divisors (see below), whose sum is σ = 2079447552. Its totient is φ = 206400000.

The previous prime is 803282237. The next prime is 803282267. The reversal of 803282250 is 52282308.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4643164 + ... + 4643336.

It is an arithmetic number, because the mean of its divisors is an integer number (16245684).

Almost surely, 2803282250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803282250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039723776).

803282250 is an abundant number, since it is smaller than the sum of its proper divisors (1276165302).

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

803282250 is a wasteful number, since it uses less digits than its factorization.

803282250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 803282250 is about 28342.2343861595. The cubic root of 803282250 is about 929.5856056442.

The spelling of 803282250 in words is "eight hundred three million, two hundred eighty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 125 150 151 173 205 246 250 302 346 375 410 453 519 615 750 755 865 906 1025 1038 1230 1510 1730 2050 2265 2595 3075 3775 4325 4530 5125 5190 6150 6191 7093 7550 8650 10250 11325 12382 12975 14186 15375 18573 18875 21279 21625 22650 25950 26123 30750 30955 35465 37146 37750 42558 43250 52246 56625 61910 64875 70930 78369 92865 106395 113250 129750 130615 154775 156738 177325 185730 212790 261230 309550 354650 391845 464325 531975 653075 773875 783690 886625 928650 1063950 1071043 1306150 1547750 1773250 1959225 2142086 2321625 2659875 3213129 3265375 3918450 4643250 5319750 5355215 6426258 6530750 9796125 10710430 16065645 19592250 26776075 32131290 53552150 80328225 133880375 160656450 267760750 401641125 803282250