Base | Representation |
---|---|
bin | 1001100111111… |
… | …1000010100010 |
3 | 2210221211002000 |
4 | 2121333002202 |
5 | 40313204432 |
6 | 4001104430 |
7 | 1000051560 |
oct | 231770242 |
9 | 83854060 |
10 | 40366242 |
11 | 20870834 |
12 | 11628116 |
13 | 8494467 |
14 | 550aa30 |
15 | 382557c |
hex | 267f0a2 |
40366242 has 64 divisors (see below), whose sum is σ = 106997760. Its totient is φ = 11029392.
The previous prime is 40366171. The next prime is 40366243. The reversal of 40366242 is 24266304.
40366242 is a `hidden beast` number, since 4 + 0 + 36 + 624 + 2 = 666.
40366242 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 3×403662423 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40366243) 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 31 ways as a sum of consecutive naturals, for example, 6373 + ... + 11015.
It is an arithmetic number, because the mean of its divisors is an integer number (1671840).
Almost surely, 240366242 is an apocalyptic number.
40366242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 40366242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498880).
40366242 is an abundant number, since it is smaller than the sum of its proper divisors (66631518).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40366242 is a wasteful number, since it uses less digits than its factorization.
40366242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4684 (or 4678 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 40366242 is about 6353.4433183904. The cubic root of 40366242 is about 343.0357948404.
The spelling of 40366242 in words is "forty million, three hundred sixty-six thousand, two hundred forty-two".
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