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6331728 = 2431373139
BaseRepresentation
bin11000001001110101010000
3102220200111110
4120021311100
53110103403
6343413320
7104550564
oct30116520
912820443
106331728
113635137
122154240
131408cb0
14bab6a4
15851103
hex609d50

6331728 has 80 divisors (see below), whose sum is σ = 17984960. Its totient is φ = 1907712.

The previous prime is 6331723. The next prime is 6331733. The reversal of 6331728 is 8271336.

It is an interprime number because it is at equal distance from previous prime (6331723) and next prime (6331733).

It is a junction number, because it is equal to n+sod(n) for n = 6331695 and 6331704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45483 + ... + 45621.

It is an arithmetic number, because the mean of its divisors is an integer number (224812).

Almost surely, 26331728 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 6331728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992480).

6331728 is an abundant number, since it is smaller than the sum of its proper divisors (11653232).

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

6331728 is a wasteful number, since it uses less digits than its factorization.

6331728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 6331728 is about 2516.2925108182. The cubic root of 6331728 is about 185.0010031599.

The spelling of 6331728 in words is "six million, three hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 139 146 156 208 219 278 292 312 417 438 556 584 624 834 876 949 1112 1168 1668 1752 1807 1898 2224 2847 3336 3504 3614 3796 5421 5694 6672 7228 7592 10147 10842 11388 14456 15184 20294 21684 22776 28912 30441 40588 43368 45552 60882 81176 86736 121764 131911 162352 243528 263822 395733 487056 527644 791466 1055288 1582932 2110576 3165864 6331728