Base | Representation |
---|---|
bin | 11000101100100100000000 |
3 | 110011220122012 |
4 | 120230210000 |
5 | 3124131414 |
6 | 350432052 |
7 | 106012406 |
oct | 30544400 |
9 | 13156565 |
10 | 6473984 |
11 | 3722000 |
12 | 2202628 |
13 | 145897a |
14 | c07476 |
15 | 87d33e |
hex | 62c900 |
6473984 has 72 divisors (see below), whose sum is σ = 14962080. Its totient is φ = 2787840.
The previous prime is 6473981. The next prime is 6474007. The reversal of 6473984 is 4893746.
Its product of digits (145152) is a multiple of the sum of its prime divisors (32).
It is not an unprimeable number, because it can be changed into a prime (6473981) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 340727 + ... + 340745.
Almost surely, 26473984 is an apocalyptic number.
6473984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481040).
6473984 is an abundant number, since it is smaller than the sum of its proper divisors (8488096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6473984 is an equidigital number, since it uses as much as digits as its factorization.
6473984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 32 counting only the distinct ones).
The product of its digits is 145152, while the sum is 41.
The square root of 6473984 is about 2544.4024838850. The cubic root of 6473984 is about 186.3762377072.
It can be divided in two parts, 64 and 73984, that multiplied together give a square (4734976 = 21762).
The spelling of 6473984 in words is "six million, four hundred seventy-three thousand, nine hundred eighty-four".
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