Base | Representation |
---|---|
bin | 11010110011101100100000 |
3 | 111020000220100 |
4 | 122303230200 |
5 | 3244334423 |
6 | 410342400 |
7 | 113506206 |
oct | 32635440 |
9 | 14200810 |
10 | 7027488 |
11 | 3a6a946 |
12 | 242aa00 |
13 | 15c08a0 |
14 | d0d076 |
15 | 93c343 |
hex | 6b3b20 |
7027488 has 72 divisors (see below), whose sum is σ = 21533148. Its totient is φ = 2161152.
The previous prime is 7027481. The next prime is 7027547. The reversal of 7027488 is 8847207.
7027488 is nontrivially palindromic in base 5.
It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 121104 = 2628^2 + 348^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (7027481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2806 + ... + 4682.
Almost surely, 27027488 is an apocalyptic number.
7027488 is a gapful number since it is divisible by the number (78) 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 7027488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766574).
7027488 is an abundant number, since it is smaller than the sum of its proper divisors (14505660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7027488 is a wasteful number, since it uses less digits than its factorization.
7027488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1906 (or 1895 counting only the distinct ones).
The product of its (nonzero) digits is 25088, while the sum is 36.
The square root of 7027488 is about 2650.9409650160. The cubic root of 7027488 is about 191.5431848197.
The spelling of 7027488 in words is "seven million, twenty-seven thousand, four hundred eighty-eight".
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