Base | Representation |
---|---|
bin | 11100110110101… |
… | …00110001100010 |
3 | 121212110002221200 |
4 | 32123110301202 |
5 | 443430402002 |
6 | 40003502030 |
7 | 5666224434 |
oct | 1633246142 |
9 | 555402850 |
10 | 242044002 |
11 | 11469a272 |
12 | 69087916 |
13 | 3b1b8305 |
14 | 24208654 |
15 | 163b1b1c |
hex | e6d4c62 |
242044002 has 54 divisors (see below), whose sum is σ = 556365537. Its totient is φ = 76038912.
The previous prime is 242043929. The next prime is 242044007. The reversal of 242044002 is 200440242.
242044002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 224730081 + 17313921 = 14991^2 + 4161^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=11001.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (242044007) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1254018 + ... + 1254210.
Almost surely, 2242044002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 242044002
242044002 is an abundant number, since it is smaller than the sum of its proper divisors (314321535).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242044002 is a wasteful number, since it uses less digits than its factorization.
242044002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 432 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 242044002 is about 15557.7633996664. The cubic root of 242044002 is about 623.2057356204.
Multiplying 242044002 by its sum of digits (18), we get a square (4356792036 = 660062).
242044002 divided by its sum of digits (18) gives a square (13446889 = 36672).
Multiplying 242044002 by its product of nonzero digits (512), we get a square (123926529024 = 3520322).
Adding to 242044002 its reverse (200440242), we get a palindrome (442484244).
The spelling of 242044002 in words is "two hundred forty-two million, forty-four thousand, two".
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