[go: up one dir, main page]

Search a number
-
+
6328256 = 261189101
BaseRepresentation
bin11000001000111111000000
3102220111201212
4120020333000
53110001011
6343345252
7104534504
oct30107700
912814655
106328256
113632570
122152228
13140753c
14baa304
1585008b
hex608fc0

6328256 has 56 divisors (see below), whose sum is σ = 13990320. Its totient is φ = 2816000.

The previous prime is 6328249. The next prime is 6328261. The reversal of 6328256 is 6528236.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 64 + 311 + 210 + 82 + 222 + 59 + 64 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62606 + ... + 62706.

Almost surely, 26328256 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 6328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995160).

6328256 is an abundant number, since it is smaller than the sum of its proper divisors (7662064).

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

6328256 is a wasteful number, since it uses less digits than its factorization.

6328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 6328256 is about 2515.6025123218. The cubic root of 6328256 is about 184.9671819068.

It can be divided in two parts, 632 and 8256, that added together give a palindrome (8888).

The spelling of 6328256 in words is "six million, three hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 101 176 178 202 352 356 404 704 712 808 979 1111 1424 1616 1958 2222 2848 3232 3916 4444 5696 6464 7832 8888 8989 15664 17776 17978 31328 35552 35956 62656 71104 71912 98879 143824 197758 287648 395516 575296 791032 1582064 3164128 6328256