Search a number
-
+
6228872 = 2313101593
BaseRepresentation
bin10111110000101110001000
3102201110101222
4113300232020
53043310442
6341301212
7103641656
oct27605610
912643358
106228872
113574931
122104808
1313a1230
14b81dd6
158308d2
hex5f0b88

6228872 has 32 divisors (see below), whose sum is σ = 12723480. Its totient is φ = 2841600.

The previous prime is 6228869. The next prime is 6228877. The reversal of 6228872 is 2788226.

It can be written as a sum of positive squares in 4 ways, for example, as 5885476 + 343396 = 2426^2 + 586^2 .

It is not an unprimeable number, because it can be changed into a prime (6228877) 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, 10208 + ... + 10800.

Almost surely, 26228872 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 6228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361740).

6228872 is an abundant number, since it is smaller than the sum of its proper divisors (6494608).

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

6228872 is a wasteful number, since it uses less digits than its factorization.

6228872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 6228872 is about 2495.7708228121. The cubic root of 6228872 is about 183.9937773573.

The spelling of 6228872 in words is "six million, two hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 593 808 1186 1313 2372 2626 4744 5252 7709 10504 15418 30836 59893 61672 119786 239572 479144 778609 1557218 3114436 6228872