| Base | Representation |
|---|---|
| bin | 1000010011001111… |
| … | …00110110001000000 |
| 3 | 102111120101202121111 |
| 4 | 10021213212301000 |
| 5 | 33111311012030 |
| 6 | 2014110533104 |
| 7 | 215301206266 |
| oct | 41147466100 |
| 9 | 12446352544 |
| 10 | 4456344640 |
| 11 | 1987543760 |
| 12 | a44507194 |
| 13 | 560330227 |
| 14 | 303bc4436 |
| 15 | 1b136862a |
| hex | 1099e6c40 |
4456344640 has 112 divisors (see below), whose sum is σ = 12257495424. Its totient is φ = 1525145600.
The previous prime is 4456344559. The next prime is 4456344647. The reversal of 4456344640 is 464436544.
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 4456344593 and 4456344602.
It is not an unprimeable number, because it can be changed into a prime (4456344647) 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, 22605 + ... + 97075.
Almost surely, 24456344640 is an apocalyptic number.
4456344640 is a gapful number since it is divisible by the number (40) 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 4456344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128747712).
4456344640 is an abundant number, since it is smaller than the sum of its proper divisors (7801150784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4456344640 is a wasteful number, since it uses less digits than its factorization.
4456344640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74516 (or 74506 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 40.
The square root of 4456344640 is about 66755.8584695006. The cubic root of 4456344640 is about 1645.6074954359.
Adding to 4456344640 its product of nonzero digits (552960), we get a square (4456897600 = 667602).
The spelling of 4456344640 in words is "four billion, four hundred fifty-six million, three hundred forty-four thousand, six hundred forty".
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