Base | Representation |
---|---|
bin | 100101111010… |
… | …010111001000 |
3 | 200200220220000 |
4 | 211322113020 |
5 | 10021012001 |
6 | 553003000 |
7 | 150321600 |
oct | 45722710 |
9 | 20626800 |
10 | 9938376 |
11 | 5678938 |
12 | 33b3460 |
13 | 209c7c6 |
14 | 1469c00 |
15 | d14a86 |
hex | 97a5c8 |
9938376 has 120 divisors (see below), whose sum is σ = 32484870. Its totient is φ = 2830464.
The previous prime is 9938347. The next prime is 9938377. The reversal of 9938376 is 6738399.
It is a happy number.
9938376 is nontrivially palindromic in base 5.
9938376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 2153+1.
It can be written as a sum of positive squares in only one way, i.e., 9922500 + 15876 = 3150^2 + 126^2 .
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (9938377) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31596 + ... + 31908.
Almost surely, 29938376 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 9938376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242435).
9938376 is an abundant number, since it is smaller than the sum of its proper divisors (22546494).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9938376 is a wasteful number, since it uses less digits than its factorization.
9938376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 345 (or 325 counting only the distinct ones).
The product of its digits is 244944, while the sum is 45.
The square root of 9938376 is about 3152.5189928056. The cubic root of 9938376 is about 215.0000072111. Note that the first 5 decimals are identical.
The spelling of 9938376 in words is "nine million, nine hundred thirty-eight thousand, three hundred seventy-six".
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