Base | Representation |
---|---|
bin | 1001100010111… |
… | …0011011000000 |
3 | 2210100001010000 |
4 | 2120232123000 |
5 | 40222123112 |
6 | 3550040000 |
7 | 664205061 |
oct | 230563300 |
9 | 83301100 |
10 | 40036032 |
11 | 20665733 |
12 | 114a9000 |
13 | 83aa07a |
14 | 5462568 |
15 | 37ac7dc |
hex | 262e6c0 |
40036032 has 70 divisors (see below), whose sum is σ = 118694708. Its totient is φ = 13343616.
The previous prime is 40036019. The next prime is 40036081. The reversal of 40036032 is 23063004.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 40035996 and 40036014.
It is an unprimeable number.
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 9 ways as a sum of consecutive naturals, for example, 1323 + ... + 9045.
Almost surely, 240036032 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 40036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59347354).
40036032 is an abundant number, since it is smaller than the sum of its proper divisors (78658676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40036032 is an equidigital number, since it uses as much as digits as its factorization.
40036032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7747 (or 7728 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 40036032 is about 6327.4032588417. The cubic root of 40036032 is about 342.0978482720.
Adding to 40036032 its reverse (23063004), we get a palindrome (63099036).
The spelling of 40036032 in words is "forty million, thirty-six thousand, thirty-two", and thus it is an eban number.
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