Base | Representation |
---|---|
bin | 1001000110010100… |
… | …0001101010000000 |
3 | 20022012210220021100 |
4 | 2101211001222000 |
5 | 20000223334212 |
6 | 1042205054400 |
7 | 114345035541 |
oct | 22145015200 |
9 | 6265726240 |
10 | 2442402432 |
11 | 1043744108 |
12 | 581b57400 |
13 | 2cc013b52 |
14 | 19253a4c8 |
15 | e464ebdc |
hex | 91941a80 |
2442402432 has 96 divisors (see below), whose sum is σ = 7071929280. Its totient is φ = 809077248.
The previous prime is 2442402337. The next prime is 2442402491. The reversal of 2442402432 is 2342042442.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 2442402396 and 2442402405.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181273 + ... + 194279.
It is an arithmetic number, because the mean of its divisors is an integer number (73665930).
Almost surely, 22442402432 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 2442402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535964640).
2442402432 is an abundant number, since it is smaller than the sum of its proper divisors (4629526848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442402432 is a wasteful number, since it uses less digits than its factorization.
2442402432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13190 (or 13175 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
The square root of 2442402432 is about 49420.6680650920. The cubic root of 2442402432 is about 1346.7047995389.
Adding to 2442402432 its reverse (2342042442), we get a palindrome (4784444874).
The spelling of 2442402432 in words is "two billion, four hundred forty-two million, four hundred two thousand, four hundred thirty-two".
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