Base | Representation |
---|---|
bin | 1001101110111… |
… | …0110001100000 |
3 | 2211211001212110 |
4 | 2123232301200 |
5 | 40422331104 |
6 | 4014555320 |
7 | 1003666062 |
oct | 233566140 |
9 | 84731773 |
10 | 40823904 |
11 | 21053670 |
12 | 11808b40 |
13 | 85c4874 |
14 | 55c9732 |
15 | 38b5e89 |
hex | 26eec60 |
40823904 has 96 divisors (see below), whose sum is σ = 118855296. Its totient is φ = 12165120.
The previous prime is 40823891. The next prime is 40823911. The reversal of 40823904 is 40932804.
It is a happy number.
40823904 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 (96).
It is a super-2 number, since 2×408239042 = 3333182275602432, which contains 22 as substring.
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 15 ways as a sum of consecutive naturals, for example, 70464 + ... + 71040.
It is an arithmetic number, because the mean of its divisors is an integer number (1238076).
Almost surely, 240823904 is an apocalyptic number.
40823904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59427648).
40823904 is an abundant number, since it is smaller than the sum of its proper divisors (78031392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40823904 is a wasteful number, since it uses less digits than its factorization.
40823904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 668 (or 660 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 40823904 is about 6389.3586532609. The cubic root of 40823904 is about 344.3273429967.
Subtracting 40823904 from its reverse (40932804), we obtain a square (108900 = 3302).
The spelling of 40823904 in words is "forty million, eight hundred twenty-three thousand, nine hundred four".
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