| Base | Representation |
|---|---|
| bin | 1001101111001… |
| … | …1111000100000 |
| 3 | 2211212010120120 |
| 4 | 2123303320200 |
| 5 | 40424013312 |
| 6 | 4015240240 |
| 7 | 1004114100 |
| oct | 233637040 |
| 9 | 84763516 |
| 10 | 40844832 |
| 11 | 21068366 |
| 12 | 11819080 |
| 13 | 8601252 |
| 14 | 55d3200 |
| 15 | 38bc28c |
| hex | 26f3e20 |
40844832 has 144 divisors (see below), whose sum is σ = 131574240. Its totient is φ = 11031552.
The previous prime is 40844831. The next prime is 40844873. The reversal of 40844832 is 23844804.
40844832 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-2 number, since 2×408448322 = 3336600602216448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 40844793 and 40844802.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40844831) 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 23 ways as a sum of consecutive naturals, for example, 89148 + ... + 89604.
It is an arithmetic number, because the mean of its divisors is an integer number (913710).
Almost surely, 240844832 is an apocalyptic number.
40844832 is a gapful number since it is divisible by the number (42) 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 40844832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65787120).
40844832 is an abundant number, since it is smaller than the sum of its proper divisors (90729408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40844832 is a wasteful number, since it uses less digits than its factorization.
40844832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 503 (or 488 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 33.
The square root of 40844832 is about 6390.9961664830. The cubic root of 40844832 is about 344.3861716967.
The spelling of 40844832 in words is "forty million, eight hundred forty-four thousand, eight hundred thirty-two".
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