Search a number
-
+
8244288 = 263313367
BaseRepresentation
bin11111011100110001000000
3120111212001000
4133130301000
54102304123
6452412000
7130034553
oct37346100
916455030
108244288
114721068
122917000
1319286a0
14114869a
15accb43
hex7dcc40

8244288 has 112 divisors (see below), whose sum is σ = 26172160. Its totient is φ = 2529792.

The previous prime is 8244287. The next prime is 8244293. The reversal of 8244288 is 8824428.

8244288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8244287) 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 15 ways as a sum of consecutive naturals, for example, 22281 + ... + 22647.

It is an arithmetic number, because the mean of its divisors is an integer number (233680).

Almost surely, 28244288 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 8244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086080).

8244288 is an abundant number, since it is smaller than the sum of its proper divisors (17927872).

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

8244288 is a wasteful number, since it uses less digits than its factorization.

8244288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 8244288 is about 2871.2868195288. The cubic root of 8244288 is about 202.0153568039.

The spelling of 8244288 in words is "eight million, two hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 367 416 432 468 576 624 702 734 832 864 936 1101 1248 1404 1468 1728 1872 2202 2496 2808 2936 3303 3744 4404 4771 5616 5872 6606 7488 8808 9542 9909 11232 11744 13212 14313 17616 19084 19818 22464 23488 26424 28626 35232 38168 39636 42939 52848 57252 70464 76336 79272 85878 105696 114504 128817 152672 158544 171756 211392 229008 257634 305344 317088 343512 458016 515268 634176 687024 916032 1030536 1374048 2061072 2748096 4122144 8244288