Base | Representation |
---|---|
bin | 111011111111111… |
… | …111111111111000 |
3 | 2121011011020210221 |
4 | 323333333333320 |
5 | 4030144223302 |
6 | 243515345424 |
7 | 33642144643 |
oct | 7377777770 |
9 | 2534136727 |
10 | 1006632952 |
11 | 477244266 |
12 | 241152274 |
13 | 130720300 |
14 | 97996a5a |
15 | 5d591937 |
hex | 3bfffff8 |
1006632952 has 48 divisors (see below), whose sum is σ = 2099134440. Its totient is φ = 452020608.
The previous prime is 1006632947. The next prime is 1006632983. The reversal of 1006632952 is 2592366001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39963 + ... + 60085.
Almost surely, 21006632952 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 1006632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049567220).
1006632952 is an abundant number, since it is smaller than the sum of its proper divisors (1092501488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006632952 is a wasteful number, since it uses less digits than its factorization.
1006632952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20192 (or 20175 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 34.
The square root of 1006632952 is about 31727.4794460575. The cubic root of 1006632952 is about 1002.2061134843.
Adding to 1006632952 its reverse (2592366001), we get a palindrome (3598998953).
The spelling of 1006632952 in words is "one billion, six million, six hundred thirty-two thousand, nine hundred fifty-two".
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