Base | Representation |
---|---|
bin | 1000010101000000… |
… | …10001000100000000 |
3 | 102112121100101112011 |
4 | 10022200101010000 |
5 | 33124111313302 |
6 | 2015401142304 |
7 | 215541361354 |
oct | 41240210400 |
9 | 12477311464 |
10 | 4471197952 |
11 | 1994969221 |
12 | a4948a994 |
13 | 563430b80 |
14 | 305b6d464 |
15 | 1b27ee5d7 |
hex | 10a811100 |
4471197952 has 144 divisors (see below), whose sum is σ = 10448273920. Its totient is φ = 1891123200.
The previous prime is 4471197943. The next prime is 4471197959. The reversal of 4471197952 is 2597911744.
It is a super-3 number, since 3×44711979523 (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 = 4471197896 and 4471197905.
It is not an unprimeable number, because it can be changed into a prime (4471197959) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959052 + ... + 1961332.
Almost surely, 24471197952 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 4471197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224136960).
4471197952 is an abundant number, since it is smaller than the sum of its proper divisors (5977075968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4471197952 is a wasteful number, since it uses less digits than its factorization.
4471197952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2360 (or 2346 counting only the distinct ones).
The product of its digits is 635040, while the sum is 49.
The square root of 4471197952 is about 66867.0169216483. The cubic root of 4471197952 is about 1647.4337766346.
The spelling of 4471197952 in words is "four billion, four hundred seventy-one million, one hundred ninety-seven thousand, nine hundred fifty-two".
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