Base | Representation |
---|---|
bin | 111011011011010… |
… | …000001101000000 |
3 | 2120111000211212221 |
4 | 323123100031000 |
5 | 4020213000000 |
6 | 242533100424 |
7 | 33464234353 |
oct | 7333201500 |
9 | 2514024787 |
10 | 997000000 |
11 | 471864947 |
12 | 239a87714 |
13 | 12b729839 |
14 | 965aa29a |
15 | 5c7dc61a |
hex | 3b6d0340 |
997000000 has 98 divisors (see below), whose sum is σ = 2475476126. Its totient is φ = 398400000.
The previous prime is 996999989. The next prime is 997000007. The reversal of 997000000 is 799.
It can be written as a sum of positive squares in 7 ways, for example, as 968952384 + 28047616 = 31128^2 + 5296^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a nialpdrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (997000007) 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 13 ways as a sum of consecutive naturals, for example, 999502 + ... + 1000498.
Almost surely, 2997000000 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 997000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237738063).
997000000 is an abundant number, since it is smaller than the sum of its proper divisors (1478476126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
997000000 is an frugal number, since it uses more digits than its factorization.
997000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1039 (or 1004 counting only the distinct ones).
The product of its (nonzero) digits is 567, while the sum is 25.
The square root of 997000000 is about 31575.3068076939. The cubic root of 997000000 is about 998.9989983300.
Adding to 997000000 its reverse (799), we get a palindrome (997000799).
The spelling of 997000000 in words is "nine hundred ninety-seven million", and thus it is an aban number.
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