Search a number
-
+
6486368 = 257231259
BaseRepresentation
bin11000101111100101100000
3110012112121212
4120233211200
53130030433
6351005252
7106063460
oct30574540
913175555
106486368
113730339
122209828
1314614b5
14c0bba0
15881d48
hex62f960

6486368 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 2656896.

The previous prime is 6486349. The next prime is 6486377. The reversal of 6486368 is 8636846.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4523 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 26486368 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 6486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

6486368 is an abundant number, since it is smaller than the sum of its proper divisors (8754592).

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

6486368 is a wasteful number, since it uses less digits than its factorization.

6486368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 6486368 is about 2546.8348984573. The cubic root of 6486368 is about 186.4950009082.

The spelling of 6486368 in words is "six million, four hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1259 1288 2518 2576 5036 5152 8813 10072 17626 20144 28957 35252 40288 57914 70504 115828 141008 202699 231656 282016 405398 463312 810796 926624 1621592 3243184 6486368