Base | Representation |
---|---|
bin | 11000100100110001000000 |
3 | 110010021211101 |
4 | 120210301000 |
5 | 3122121143 |
6 | 350024144 |
7 | 105520324 |
oct | 30446100 |
9 | 13107741 |
10 | 6442048 |
11 | 3700008 |
12 | 21a8054 |
13 | 1447282 |
14 | bd9984 |
15 | 873b4d |
hex | 624c40 |
6442048 has 56 divisors (see below), whose sum is σ = 14045184. Its totient is φ = 2918400.
The previous prime is 6442039. The next prime is 6442049. The reversal of 6442048 is 8402446.
It is not an unprimeable number, because it can be changed into a prime (6442049) 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, 33633 + ... + 33823.
Almost surely, 26442048 is an apocalyptic number.
6442048 is a gapful number since it is divisible by the number (68) 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 6442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592).
6442048 is an abundant number, since it is smaller than the sum of its proper divisors (7603136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6442048 is a wasteful number, since it uses less digits than its factorization.
6442048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 251 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 28.
The square root of 6442048 is about 2538.1189885425. The cubic root of 6442048 is about 186.0692693014.
It can be divided in two parts, 644204 and 8, that multiplied together give a 5-th power (5153632 = 225).
The spelling of 6442048 in words is "six million, four hundred forty-two thousand, forty-eight".
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