Base | Representation |
---|---|
bin | 111011011011001… |
… | …100111011100000 |
3 | 2120111000011111100 |
4 | 323123030323200 |
5 | 4020212032332 |
6 | 242532514400 |
7 | 33464150310 |
oct | 7333147340 |
9 | 2514004440 |
10 | 996986592 |
11 | 471855868 |
12 | 239a7ba00 |
13 | 12b7236c4 |
14 | 965a5440 |
15 | 5c7d867c |
hex | 3b6ccee0 |
996986592 has 144 divisors (see below), whose sum is σ = 3352134240. Its totient is φ = 275014656.
The previous prime is 996986579. The next prime is 996986593. The reversal of 996986592 is 295689699.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (996986593) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49938 + ... + 66990.
It is an arithmetic number, because the mean of its divisors is an integer number (23278710).
Almost surely, 2996986592 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 996986592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676067120).
996986592 is an abundant number, since it is smaller than the sum of its proper divisors (2355147648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
996986592 is a wasteful number, since it uses less digits than its factorization.
996986592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17105 (or 17094 counting only the distinct ones).
The product of its digits is 18895680, while the sum is 63.
The square root of 996986592 is about 31575.0944891698. The cubic root of 996986592 is about 998.9945200155.
It can be divided in two parts, 996986 and 592, that added together give a triangular number (997578 = T1412).
The spelling of 996986592 in words is "nine hundred ninety-six million, nine hundred eighty-six thousand, five hundred ninety-two".
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