Search a number
-
+
5768224 = 257112341
BaseRepresentation
bin10110000000010000100000
3101212001111221
4112000100200
52434040344
6323344424
7100012660
oct26002040
911761457
105768224
11328a830
121b22114
13126c667
14aa21a0
1578e184
hex580420

5768224 has 48 divisors (see below), whose sum is σ = 14164416. Its totient is φ = 2246400.

The previous prime is 5768207. The next prime is 5768233. The reversal of 5768224 is 4228675.

It is a super-2 number, since 2×57682242 = 66544816228352, which contains 22 as substring.

It is a d-powerful number, because it can be written as 53 + 78 + 63 + 8 + 2 + 211 + 45 .

It is a self number, because there is not a number n which added to its sum of digits gives 5768224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294 + ... + 3634.

It is an arithmetic number, because the mean of its divisors is an integer number (295092).

Almost surely, 25768224 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 5768224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082208).

5768224 is an abundant number, since it is smaller than the sum of its proper divisors (8396192).

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

5768224 is a wasteful number, since it uses less digits than its factorization.

5768224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 5768224 is about 2401.7127222047. The cubic root of 5768224 is about 179.3414619601.

The spelling of 5768224 in words is "five million, seven hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2341 2464 4682 9364 16387 18728 25751 32774 37456 51502 65548 74912 103004 131096 180257 206008 262192 360514 412016 524384 721028 824032 1442056 2884112 5768224