Search a number
-
+
6463968 = 25379619
BaseRepresentation
bin11000101010000111100000
3110011101220020
4120222013200
53123321333
6350313440
7105641250
oct30520740
913141806
106463968
113715525
1221b8880
131454244
14c03960
1587a3b3
hex62a1e0

6463968 has 48 divisors (see below), whose sum is σ = 19393920. Its totient is φ = 1846656.

The previous prime is 6463949. The next prime is 6463969. The reversal of 6463968 is 8693646.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 6 + 43 + 64 + 314 + 9 + 68 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4138 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (404040).

Almost surely, 26463968 is an apocalyptic number.

It is an amenable number.

6463968 is an abundant number, since it is smaller than the sum of its proper divisors (12929952).

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

6463968 is a wasteful number, since it uses less digits than its factorization.

6463968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9631 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6463968 is about 2542.4334799558. The cubic root of 6463968 is about 186.2800729183.

The spelling of 6463968 in words is "six million, four hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9619 19238 28857 38476 57714 67333 76952 115428 134666 153904 201999 230856 269332 307808 403998 461712 538664 807996 923424 1077328 1615992 2154656 3231984 6463968