Search a number
-
+
6396416 = 2913312
BaseRepresentation
bin11000011001101000000000
3110000222020022
4120121220000
53114141131
6345033012
7105240305
oct30315000
913028208
106396416
1136797a4
122185768
13142c580
14bc70ac
1586537b
hex619a00

6396416 has 60 divisors (see below), whose sum is σ = 14221746. Its totient is φ = 2856960.

The previous prime is 6396409. The next prime is 6396433. The reversal of 6396416 is 6146936.

It can be written as a sum of positive squares in only one way, i.e., 6150400 + 246016 = 2480^2 + 496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206321 + ... + 206351.

Almost surely, 26396416 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 6396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110873).

6396416 is an abundant number, since it is smaller than the sum of its proper divisors (7825330).

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

6396416 is an equidigital number, since it uses as much as digits as its factorization.

6396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 6396416 is about 2529.1136787420. The cubic root of 6396416 is about 185.6288896765.

The spelling of 6396416 in words is "six million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 961 992 1612 1664 1922 1984 3224 3328 3844 3968 6448 6656 7688 7936 12493 12896 15376 15872 24986 25792 30752 49972 51584 61504 99944 103168 123008 199888 206336 246016 399776 492032 799552 1599104 3198208 6396416