Base | Representation |
---|---|
bin | 1001000110011101… |
… | …0001101101000000 |
3 | 20022020220212121210 |
4 | 2101213101231000 |
5 | 20000401224243 |
6 | 1042225450120 |
7 | 114353043651 |
oct | 22147215500 |
9 | 6266825553 |
10 | 2442992448 |
11 | 1044007426 |
12 | 5821a0940 |
13 | 2cc18c580 |
14 | 192651528 |
15 | e4719933 |
hex | 919d1b40 |
2442992448 has 112 divisors (see below), whose sum is σ = 7185737216. Its totient is φ = 727418880.
The previous prime is 2442992443. The next prime is 2442992459. The reversal of 2442992448 is 8442992442.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 2442992397 and 2442992406.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2442992443) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 61590 + ... + 93162.
It is an arithmetic number, because the mean of its divisors is an integer number (64158368).
Almost surely, 22442992448 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 2442992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592868608).
2442992448 is an abundant number, since it is smaller than the sum of its proper divisors (4742744768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442992448 is a wasteful number, since it uses less digits than its factorization.
2442992448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31632 (or 31622 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 48.
The square root of 2442992448 is about 49426.6370290353. The cubic root of 2442992448 is about 1346.8132328577.
The spelling of 2442992448 in words is "two billion, four hundred forty-two million, nine hundred ninety-two thousand, four hundred forty-eight".
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