Base | Representation |
---|---|
bin | 10100000000000000000000 |
3 | 100212100212202 |
4 | 110000000000 |
5 | 2320233010 |
6 | 304212332 |
7 | 62364236 |
oct | 24000000 |
9 | 10770782 |
10 | 5242880 |
11 | 2a61065 |
12 | 190a0a8 |
13 | 11174c6 |
14 | 9a6956 |
15 | 6d86a5 |
hex | 500000 |
5242880 has 42 divisors (see below), whose sum is σ = 12582906. Its totient is φ = 2097152.
The previous prime is 5242877. The next prime is 5242883. The reversal of 5242880 is 882425.
It is an interprime number because it is at equal distance from previous prime (5242877) and next prime (5242883).
It can be written as a sum of positive squares in only one way, i.e., 4194304 + 1048576 = 2048^2 + 1024^2 .
It is an ABA number since it can be written as A⋅BA, here for A=5, B=16.
It is a nialpdrome in base 4 and base 16.
It is a zygodrome in base 4.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5242883) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 5242880 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048574 + ... + 1048578.
It is an arithmetic number, because the mean of its divisors is an integer number (299593).
Almost surely, 25242880 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291453).
5242880 is an abundant number, since it is smaller than the sum of its proper divisors (7340026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5242880 is an frugal number, since it uses more digits than its factorization.
5242880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 29.
The square root of 5242880 is about 2289.7336089598. The cubic root of 5242880 is about 173.7227274621.
Multiplying 5242880 by its product of nonzero digits (5120), we get a square (26843545600 = 1638402).
5242880 divided by its product of nonzero digits (5120) gives a 10-th power (1024 = 210).
The spelling of 5242880 in words is "five million, two hundred forty-two thousand, eight hundred eighty".
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