Search a number
-
+
28259112 = 2337592851
BaseRepresentation
bin110101111001…
…1001100101000
31222011201012210
41223303030220
524213242422
62445405120
7462125040
oct153631450
958151183
1028259112
1114a51542
1295697a0
135b1578b
143a78720
15273310c
hex1af3328

28259112 has 64 divisors (see below), whose sum is σ = 82137600. Its totient is φ = 7934400.

The previous prime is 28259089. The next prime is 28259113. The reversal of 28259112 is 21195282.

It is a super-2 number, since 2×282591122 = 1597154822057088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28259112.

It is not an unprimeable number, because it can be changed into a prime (28259113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8487 + ... + 11337.

It is an arithmetic number, because the mean of its divisors is an integer number (1283400).

Almost surely, 228259112 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 28259112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41068800).

28259112 is an abundant number, since it is smaller than the sum of its proper divisors (53878488).

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

28259112 is a wasteful number, since it uses less digits than its factorization.

28259112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2922 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 28259112 is about 5315.9300221128. The cubic root of 28259112 is about 304.5927090637.

The spelling of 28259112 in words is "twenty-eight million, two hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 2851 3304 4956 5702 8553 9912 11404 17106 19957 22808 34212 39914 59871 68424 79828 119742 159656 168209 239484 336418 478968 504627 672836 1009254 1177463 1345672 2018508 2354926 3532389 4037016 4709852 7064778 9419704 14129556 28259112