Search a number
-
+
8128296 = 2333112311
BaseRepresentation
bin11111000000011100101000
3120021221221000
4133000130220
54040101141
6450115000
7126042441
oct37003450
916257830
108128296
114651a00
12287ba60
1318b7957
1411182c8
15aa85b6
hex7c0728

8128296 has 96 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 2455200.

The previous prime is 8128259. The next prime is 8128319. The reversal of 8128296 is 6928218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8128296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25981 + ... + 26291.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 28128296 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 8128296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448800).

8128296 is an abundant number, since it is smaller than the sum of its proper divisors (16769304).

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

8128296 is a wasteful number, since it uses less digits than its factorization.

8128296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8128296 is about 2851.0166607721. The cubic root of 8128296 is about 201.0634684844.

The spelling of 8128296 in words is "eight million, one hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 311 363 396 484 594 622 726 792 933 968 1089 1188 1244 1452 1866 2178 2376 2488 2799 2904 3267 3421 3732 4356 5598 6534 6842 7464 8397 8712 10263 11196 13068 13684 16794 20526 22392 26136 27368 30789 33588 37631 41052 61578 67176 75262 82104 92367 112893 123156 150524 184734 225786 246312 301048 338679 369468 451572 677358 738936 903144 1016037 1354716 2032074 2709432 4064148 8128296