Search a number
-
+
8228896 = 2513131151
BaseRepresentation
bin11111011001000000100000
3120111001220221
4133121000200
54101311041
6452212424
7126641644
oct37310040
916431827
108228896
114710545
12290a114
131921690
141142c24
15ac82d1
hex7d9020

8228896 has 48 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 3744000.

The previous prime is 8228893. The next prime is 8228897. The reversal of 8228896 is 6988228.

It is not an unprimeable number, because it can be changed into a prime (8228893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54421 + ... + 54571.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 28228896 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 8228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

8228896 is an abundant number, since it is smaller than the sum of its proper divisors (9467552).

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

8228896 is a wasteful number, since it uses less digits than its factorization.

8228896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 8228896 is about 2868.6052359988. The cubic root of 8228896 is about 201.8895582928.

The spelling of 8228896 in words is "eight million, two hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 151 208 262 302 416 524 604 1048 1208 1703 1963 2096 2416 3406 3926 4192 4832 6812 7852 13624 15704 19781 27248 31408 39562 54496 62816 79124 158248 257153 316496 514306 632992 1028612 2057224 4114448 8228896