Search a number
-
+
5536944 = 243371831
BaseRepresentation
bin10101000111110010110000
3101102022021000
4111013302300
52404140234
6314402000
765030460
oct25076260
911368230
105536944
113141a96
121a30300
1311bb2ca
14a41ba0
15745899
hex547cb0

5536944 has 80 divisors (see below), whose sum is σ = 18173440. Its totient is φ = 1581120.

The previous prime is 5536943. The next prime is 5537011. The reversal of 5536944 is 4496355.

It is a happy number.

5536944 is a `hidden beast` number, since 553 + 69 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5536899 and 5536908.

It is not an unprimeable number, because it can be changed into a prime (5536943) 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, 2109 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (227168).

Almost surely, 25536944 is an apocalyptic number.

5536944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086720).

5536944 is an abundant number, since it is smaller than the sum of its proper divisors (12636496).

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

5536944 is a wasteful number, since it uses less digits than its factorization.

5536944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1843 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5536944 is about 2353.0711846436. The cubic root of 5536944 is about 176.9117629719.

The spelling of 5536944 in words is "five million, five hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1831 3024 3662 5493 7324 10986 12817 14648 16479 21972 25634 29296 32958 38451 43944 49437 51268 65916 76902 87888 98874 102536 115353 131832 153804 197748 205072 230706 263664 307608 346059 395496 461412 615216 692118 790992 922824 1384236 1845648 2768472 5536944