Base | Representation |
---|---|
bin | 1001011000011… |
… | …0111101000000 |
3 | 2202001012011101 |
4 | 2112012331000 |
5 | 40033200310 |
6 | 3523224144 |
7 | 655320160 |
oct | 226067500 |
9 | 82035141 |
10 | 39350080 |
11 | 20237330 |
12 | 11218054 |
13 | 81c9a93 |
14 | 53245a0 |
15 | 36c443a |
hex | 2586f40 |
39350080 has 112 divisors (see below), whose sum is σ = 116896896. Its totient is φ = 12257280.
The previous prime is 39350039. The next prime is 39350089. The reversal of 39350080 is 8005393.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (39350089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23842 + ... + 25438.
Almost surely, 239350080 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 39350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58448448).
39350080 is an abundant number, since it is smaller than the sum of its proper divisors (77546816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39350080 is a wasteful number, since it uses less digits than its factorization.
39350080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1632 (or 1622 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 28.
The square root of 39350080 is about 6272.9642115989. The cubic root of 39350080 is about 340.1328200798.
The spelling of 39350080 in words is "thirty-nine million, three hundred fifty thousand, eighty".
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