Base | Representation |
---|---|
bin | 1001110000011… |
… | …0001010111110 |
3 | 2211222221100000 |
4 | 2130012022332 |
5 | 40433412432 |
6 | 4021015130 |
7 | 1004545353 |
oct | 234061276 |
9 | 84887300 |
10 | 40919742 |
11 | 21109676 |
12 | 118544a6 |
13 | 8629386 |
14 | 561262a |
15 | 38d457c |
hex | 27062be |
40919742 has 48 divisors (see below), whose sum is σ = 92579760. Its totient is φ = 13545792.
The previous prime is 40919707. The next prime is 40919759. The reversal of 40919742 is 24791904.
40919742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×409197423 (a number of 24 digits) contains 333 as substring.
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 40919697 and 40919706.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 130578 + ... + 130890.
It is an arithmetic number, because the mean of its divisors is an integer number (1928745).
Almost surely, 240919742 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40919742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46289880).
40919742 is an abundant number, since it is smaller than the sum of its proper divisors (51660018).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40919742 is a wasteful number, since it uses less digits than its factorization.
40919742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 599 (or 587 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 40919742 is about 6396.8540705569. The cubic root of 40919742 is about 344.5965794899.
The spelling of 40919742 in words is "forty million, nine hundred nineteen thousand, seven hundred forty-two".
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