Base | Representation |
---|---|
bin | 11100111010000… |
… | …00010000010010 |
3 | 121220021110211212 |
4 | 32131000100102 |
5 | 444033443432 |
6 | 40021140122 |
7 | 6003040100 |
oct | 1635002022 |
9 | 556243755 |
10 | 242484242 |
11 | 114970000 |
12 | 6925a642 |
13 | 3b310800 |
14 | 242c0c70 |
15 | 1644c2b2 |
hex | e740412 |
242484242 has 90 divisors (see below), whose sum is σ = 503973765. Its totient is φ = 87207120.
The previous prime is 242484197. The next prime is 242484271.
Added to its reverse (242484242) it gives a square (484968484 = 220222).
242484242 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 207331201 + 35153041 = 14399^2 + 5929^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=11011.
It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 242484199 and 242484208.
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18652628 + ... + 18652640.
Almost surely, 2242484242 is an apocalyptic number.
242484242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
242484242 is an abundant number, since it is smaller than the sum of its proper divisors (261489523).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242484242 is an equidigital number, since it uses as much as digits as its factorization.
242484242 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86 (or 33 counting only the distinct ones).
The product of its digits is 32768, while the sum is 32.
The square root of 242484242 is about 15571.9055352901. The cubic root of 242484242 is about 623.5833445391.
Multiplying 242484242 by its sum of digits (32), we get a square (7759495744 = 880882).
Multiplying 242484242 by its product of digits (32768), we get a square (7945723641856 = 28188162).
It can be divided in two parts, 242 and 484242, that added together give a palindrome (484484).
The spelling of 242484242 in words is "two hundred forty-two million, four hundred eighty-four thousand, two hundred forty-two".
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