Search a number
-
+
5832224 = 251771151
BaseRepresentation
bin10110001111111000100000
3101222022022022
4112033320200
52443112344
6325001012
7100400366
oct26177040
911868268
105832224
113323922
121b53168
131292828
14abb636
157a30ee
hex58fe20

5832224 has 48 divisors (see below), whose sum is σ = 12410496. Its totient is φ = 2688000.

The previous prime is 5832217. The next prime is 5832257. The reversal of 5832224 is 4222385.

5832224 = 23 + 33 + ... + 693.

It is a Cunningham number, because it is equal to 24152-1.

It is a d-powerful number, because it can be written as 53 + 8 + 314 + 2 + 25 + 29 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 5832193 and 5832202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38549 + ... + 38699.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 25832224 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 5832224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248).

5832224 is an abundant number, since it is smaller than the sum of its proper divisors (6578272).

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

5832224 is a wasteful number, since it uses less digits than its factorization.

5832224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 5832224 is about 2414.9997929607. Note that the first 3 decimals coincide. The cubic root of 5832224 is about 180.0023044972.

The spelling of 5832224 in words is "five million, eight hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 151 272 284 302 544 568 604 1136 1207 1208 2272 2414 2416 2567 4828 4832 5134 9656 10268 10721 19312 20536 21442 38624 41072 42884 82144 85768 171536 182257 343072 364514 729028 1458056 2916112 5832224