Base | Representation |
---|---|
bin | 1001101111001… |
… | …1110101000000 |
3 | 2211212010021021 |
4 | 2123303311000 |
5 | 40424011413 |
6 | 4015235224 |
7 | 1004113330 |
oct | 233636500 |
9 | 84763237 |
10 | 40844608 |
11 | 21068182 |
12 | 11818b14 |
13 | 860110c |
14 | 55d30c0 |
15 | 38bc18d |
hex | 26f3d40 |
40844608 has 112 divisors (see below), whose sum is σ = 101827584. Its totient is φ = 15851520.
The previous prime is 40844603. The next prime is 40844717. The reversal of 40844608 is 80644804.
40844608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (34).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40844603) 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 15 ways as a sum of consecutive naturals, for example, 236010 + ... + 236182.
Almost surely, 240844608 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 40844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913792).
40844608 is an abundant number, since it is smaller than the sum of its proper divisors (60982976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40844608 is a wasteful number, since it uses less digits than its factorization.
40844608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 34.
The square root of 40844608 is about 6390.9786418044. The cubic root of 40844608 is about 344.3855421382.
The spelling of 40844608 in words is "forty million, eight hundred forty-four thousand, six hundred eight".
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