Search a number
-
+
5356288 = 287361
BaseRepresentation
bin10100011011101100000000
3101002010110001
4110123230000
52332400123
6310445344
763346000
oct24335400
911063401
105356288
113029293
121963854
131157002
149d6000
1570c0ad
hex51bb00

5356288 has 72 divisors (see below), whose sum is σ = 12672800. Its totient is φ = 2257920.

The previous prime is 5356283. The next prime is 5356301. The reversal of 5356288 is 8826535.

It is a super-2 number, since 2×53562882 = 57379642277888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5356283) 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, 87778 + ... + 87838.

Almost surely, 25356288 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 5356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336400).

5356288 is an abundant number, since it is smaller than the sum of its proper divisors (7316512).

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

5356288 is an frugal number, since it uses more digits than its factorization.

5356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 5356288 is about 2314.3655718144. The cubic root of 5356288 is about 174.9663935467.

The spelling of 5356288 in words is "five million, three hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 343 392 427 448 488 686 784 854 896 976 1372 1568 1708 1792 1952 2744 2989 3136 3416 3904 5488 5978 6272 6832 7808 10976 11956 12544 13664 15616 20923 21952 23912 27328 41846 43904 47824 54656 83692 87808 95648 109312 167384 191296 334768 382592 669536 765184 1339072 2678144 5356288