Search a number
-
+
8428272 = 243533313
BaseRepresentation
bin100000001001…
…101011110000
3120212012102020
4200021223300
54124201042
6500351440
7131432136
oct40115360
916765366
108428272
114837316
1229a5580
131991358
141195756
15b173ec
hex809af0

8428272 has 40 divisors (see below), whose sum is σ = 22190544. Its totient is φ = 2755584.

The previous prime is 8428237. The next prime is 8428289. The reversal of 8428272 is 2728248.

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, 888 + ... + 4200.

Almost surely, 28428272 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 8428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095272).

8428272 is an abundant number, since it is smaller than the sum of its proper divisors (13762272).

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

8428272 is a wasteful number, since it uses less digits than its factorization.

8428272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3371 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 8428272 is about 2903.1486355335. The cubic root of 8428272 is about 203.5070759613.

The spelling of 8428272 in words is "eight million, four hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 3313 6626 9939 13252 19878 26504 39756 53008 79512 159024 175589 351178 526767 702356 1053534 1404712 2107068 2809424 4214136 8428272