Base | Representation |
---|---|
bin | 1001000110010001… |
… | …1010011111000000 |
3 | 20022012111202011211 |
4 | 2101210122133000 |
5 | 20000203220414 |
6 | 1042201415504 |
7 | 114343500010 |
oct | 22144323700 |
9 | 6265452154 |
10 | 2442241984 |
11 | 1043644606 |
12 | 581a9a594 |
13 | 2cbc88b00 |
14 | 1924d7c40 |
15 | e461c3c4 |
hex | 9191a7c0 |
2442241984 has 84 divisors (see below), whose sum is σ = 5997665424. Its totient is φ = 966131712.
The previous prime is 2442241951. The next prime is 2442242003. The reversal of 2442241984 is 4891422442.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59584 + ... + 91840.
Almost surely, 22442241984 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 2442241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998832712).
2442241984 is an abundant number, since it is smaller than the sum of its proper divisors (3555423440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442241984 is a wasteful number, since it uses less digits than its factorization.
2442241984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32302 (or 32279 counting only the distinct ones).
The product of its digits is 147456, while the sum is 40.
The square root of 2442241984 is about 49419.0447499747. The cubic root of 2442241984 is about 1346.6753093369.
The spelling of 2442241984 in words is "two billion, four hundred forty-two million, two hundred forty-one thousand, nine hundred eighty-four".
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