Base | Representation |
---|---|
bin | 11110101101111100000000 |
3 | 120011002221000 |
4 | 132231330000 |
5 | 4030134410 |
6 | 444332000 |
7 | 125305422 |
oct | 36557400 |
9 | 16132830 |
10 | 8052480 |
11 | 45aaa47 |
12 | 2844000 |
13 | 188c2a7 |
14 | 10d8812 |
15 | a90dc0 |
hex | 7adf00 |
8052480 has 144 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 2138112.
The previous prime is 8052479. The next prime is 8052487. The reversal of 8052480 is 842508.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 6.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8052487) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34444 + ... + 34676.
It is an arithmetic number, because the mean of its divisors is an integer number (199290).
Almost surely, 28052480 is an apocalyptic number.
8052480 is a gapful number since it is divisible by the number (80) 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 8052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).
8052480 is an abundant number, since it is smaller than the sum of its proper divisors (20645280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8052480 is a wasteful number, since it uses less digits than its factorization.
8052480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 263 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The square root of 8052480 is about 2837.6892007406. The cubic root of 8052480 is about 200.4363805011.
Adding to 8052480 its reverse (842508), we get a palindrome (8894988).
The spelling of 8052480 in words is "eight million, fifty-two thousand, four hundred eighty".
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