Search a number
-
+
8282332828 = 2271161440831
BaseRepresentation
bin1111011011010101…
…00101111010011100
3210101012200002201201
413231222211322130
5113430234122303
63445503045244
7412146444640
oct75552457234
923335602651
108282332828
113570185270
1217318a0824
13a1cb96573
14587d9cc20
153371b981d
hex1edaa5e9c

8282332828 has 48 divisors (see below), whose sum is σ = 18366824448. Its totient is φ = 3173976000.

The previous prime is 8282332819. The next prime is 8282332831.

8282332828 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201628 + ... + 239203.

It is an arithmetic number, because the mean of its divisors is an integer number (382642176).

Almost surely, 28282332828 is an apocalyptic number.

It is an amenable number.

8282332828 is an abundant number, since it is smaller than the sum of its proper divisors (10084491620).

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

8282332828 is a wasteful number, since it uses less digits than its factorization.

8282332828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440914 (or 440912 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 8282332828 is about 91007.3229361242. The cubic root of 8282332828 is about 2023.2562606508.

The spelling of 8282332828 in words is "eight billion, two hundred eighty-two million, three hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1708 2684 4697 9394 18788 440831 881662 1763324 3085817 4849141 6171634 9698282 12343268 19396564 26890691 33943987 53781382 67887974 107562764 135775948 188234837 295797601 376469674 591595202 752939348 1183190404 2070583207 4141166414 8282332828