Search a number
-
+
5068536 = 2331173263
BaseRepresentation
bin10011010101011011111000
3100112111201120
4103111123320
52244143121
6300345240
761040034
oct23253370
910474646
105068536
112952080
121845220
131086045
1495d1c4
156a1bc6
hex4d56f8

5068536 has 64 divisors (see below), whose sum is σ = 14065920. Its totient is φ = 1509120.

The previous prime is 5068529. The next prime is 5068537. The reversal of 5068536 is 6358605.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5068497 and 5068506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5068537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19141 + ... + 19403.

It is an arithmetic number, because the mean of its divisors is an integer number (219780).

Almost surely, 25068536 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 5068536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032960).

5068536 is an abundant number, since it is smaller than the sum of its proper divisors (8997384).

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

5068536 is a wasteful number, since it uses less digits than its factorization.

5068536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5068536 is about 2251.3409337548. The cubic root of 5068536 is about 171.7753512070.

It can be divided in two parts, 50685 and 36, that added together give a triangular number (50721 = T318).

The spelling of 5068536 in words is "five million, sixty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 263 264 292 438 526 584 789 803 876 1052 1578 1606 1752 2104 2409 2893 3156 3212 4818 5786 6312 6424 8679 9636 11572 17358 19199 19272 23144 34716 38398 57597 69432 76796 115194 153592 211189 230388 422378 460776 633567 844756 1267134 1689512 2534268 5068536