| Base | Representation |
|---|---|
| bin | 11010101111001000000000 |
| 3 | 111012002020000 |
| 4 | 122233020000 |
| 5 | 3243240033 |
| 6 | 410120000 |
| 7 | 113400504 |
| oct | 32571000 |
| 9 | 14162200 |
| 10 | 7008768 |
| 11 | 3a57878 |
| 12 | 2420000 |
| 13 | 15b5200 |
| 14 | d06304 |
| 15 | 936a13 |
| hex | 6af200 |
7008768 has 150 divisors (see below), whose sum is σ = 22652289. Its totient is φ = 2156544.
The previous prime is 7008763. The next prime is 7008779. The reversal of 7008768 is 8678007.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 1016064 = 2448^2 + 1008^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1872.
It is a super-3 number, since 3×70087683 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (7008761) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 539130 + ... + 539142.
Almost surely, 27008768 is an apocalyptic number.
7008768 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 7008768
7008768 is an abundant number, since it is smaller than the sum of its proper divisors (15643521).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7008768 is an equidigital number, since it uses as much as digits as its factorization.
7008768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 36.
The square root of 7008768 is about 2647.4077887624. The cubic root of 7008768 is about 191.3729543845.
It can be divided in two parts, 7008 and 768, that added together give a 5-th power (7776 = 65).
The spelling of 7008768 in words is "seven million, eight thousand, seven hundred sixty-eight".
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