Search a number
-
+
6464808 = 23327101127
BaseRepresentation
bin11000101010010100101000
3110011110001100
4120222110220
53123333213
6350321400
7105643560
oct30522450
913143040
106464808
113716119
1221b9260
13145473c
14c03da0
1587a773
hex62a528

6464808 has 96 divisors (see below), whose sum is σ = 20367360. Its totient is φ = 1814400.

The previous prime is 6464797. The next prime is 6464813. The reversal of 6464808 is 8084646.

6464808 is a `hidden beast` number, since 6 + 4 + 648 + 0 + 8 = 666.

6464808 is nontrivially palindromic in base 5.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50841 + ... + 50967.

It is an arithmetic number, because the mean of its divisors is an integer number (212160).

Almost surely, 26464808 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 6464808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183680).

6464808 is an abundant number, since it is smaller than the sum of its proper divisors (13902552).

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

6464808 is a wasteful number, since it uses less digits than its factorization.

6464808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6464808 is about 2542.5986706517. The cubic root of 6464808 is about 186.2881416713.

The spelling of 6464808 in words is "six million, four hundred sixty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 127 168 202 252 254 303 381 404 504 508 606 707 762 808 889 909 1016 1143 1212 1414 1524 1778 1818 2121 2286 2424 2667 2828 3048 3556 3636 4242 4572 5334 5656 6363 7112 7272 8001 8484 9144 10668 12726 12827 16002 16968 21336 25452 25654 32004 38481 50904 51308 64008 76962 89789 102616 115443 153924 179578 230886 269367 307848 359156 461772 538734 718312 808101 923544 1077468 1616202 2154936 3232404 6464808