Search a number
-
+
6428656 = 241331997
BaseRepresentation
bin11000100001011111110000
3110002121110101
4120201133300
53121204111
6345442144
7105433303
oct30413760
913077411
106428656
1136a0a43
1221a0354
131441150
14bd4b3a
1586ebc1
hex6217f0

6428656 has 40 divisors (see below), whose sum is σ = 13860224. Its totient is φ = 2868480.

The previous prime is 6428651. The next prime is 6428671. The reversal of 6428656 is 6568246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428651) by changing a digit.

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, 5950 + ... + 6946.

Almost surely, 26428656 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 6428656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930112).

6428656 is an abundant number, since it is smaller than the sum of its proper divisors (7431568).

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

6428656 is a wasteful number, since it uses less digits than its factorization.

6428656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 6428656 is about 2535.4794418413. The cubic root of 6428656 is about 185.9402436476.

Subtracting from 6428656 its product of digits (69120), we obtain a palindrome (6359536).

The spelling of 6428656 in words is "six million, four hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 997 1612 1994 3224 3988 6448 7976 12961 15952 25922 30907 51844 61814 103688 123628 207376 247256 401791 494512 803582 1607164 3214328 6428656