Base | Representation |
---|---|
bin | 1000010101100000… |
… | …11100101110100000 |
3 | 102112220022220120020 |
4 | 10022300130232200 |
5 | 33131203040112 |
6 | 2020032113440 |
7 | 215622420060 |
oct | 41260345640 |
9 | 12486286506 |
10 | 4475440032 |
11 | 19972a6378 |
12 | a4a995880 |
13 | 56428798b |
14 | 3065553a0 |
15 | 1b2d8b48c |
hex | 10ac1cba0 |
4475440032 has 96 divisors (see below), whose sum is σ = 13545366912. Its totient is φ = 1267359744.
The previous prime is 4475440003. The next prime is 4475440037. The reversal of 4475440032 is 2300445744.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×44754400323 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 4475439975 and 4475440002.
It is not an unprimeable number, because it can be changed into a prime (4475440037) 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, 46468 + ... + 105404.
It is an arithmetic number, because the mean of its divisors is an integer number (141097572).
Almost surely, 24475440032 is an apocalyptic number.
4475440032 is a gapful number since it is divisible by the number (42) 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 4475440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772683456).
4475440032 is an abundant number, since it is smaller than the sum of its proper divisors (9069926880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4475440032 is a wasteful number, since it uses less digits than its factorization.
4475440032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59070 (or 59062 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 33.
The square root of 4475440032 is about 66898.7296740379. The cubic root of 4475440032 is about 1647.9546166847.
Adding to 4475440032 its reverse (2300445744), we get a palindrome (6775885776).
The spelling of 4475440032 in words is "four billion, four hundred seventy-five million, four hundred forty thousand, thirty-two".
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