| Base | Representation |
|---|---|
| bin | 1001000101010101… |
| … | …0011100011100000 |
| 3 | 20021221001112100000 |
| 4 | 2101111103203200 |
| 5 | 14443200001230 |
| 6 | 1041540500000 |
| 7 | 114265023150 |
| oct | 22125234340 |
| 9 | 6257045300 |
| 10 | 2438281440 |
| 11 | 1041389a31 |
| 12 | 5806aa600 |
| 13 | 2cb2001aa |
| 14 | 191b86760 |
| 15 | e40d8b60 |
| hex | 915538e0 |
2438281440 has 864 divisors, whose sum is σ = 10813630464. Its totient is φ = 507617280.
The previous prime is 2438281429. The next prime is 2438281441. The reversal of 2438281440 is 441828342.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2438281395 and 2438281404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2438281441) 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 143 ways as a sum of consecutive naturals, for example, 78654225 + ... + 78654255.
It is an arithmetic number, because the mean of its divisors is an integer number (12515776).
Almost surely, 22438281440 is an apocalyptic number.
2438281440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2438281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406815232).
2438281440 is an abundant number, since it is smaller than the sum of its proper divisors (8375349024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2438281440 is a wasteful number, since it uses less digits than its factorization.
2438281440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 2438281440 is about 49378.9574616557. The cubic root of 2438281440 is about 1345.9469550117.
The spelling of 2438281440 in words is "two billion, four hundred thirty-eight million, two hundred eighty-one thousand, four hundred forty".
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