| Base | Representation |
|---|---|
| bin | 1001101010111… |
| … | …1111010000000 |
| 3 | 2211022222122021 |
| 4 | 2122233322000 |
| 5 | 40341111100 |
| 6 | 4005251224 |
| 7 | 1001544250 |
| oct | 232577200 |
| 9 | 84288567 |
| 10 | 40566400 |
| 11 | 20998156 |
| 12 | 11703b14 |
| 13 | 85345b4 |
| 14 | 555d960 |
| 15 | 3864a1a |
| hex | 26afe80 |
40566400 has 96 divisors (see below), whose sum is σ = 114590880. Its totient is φ = 13900800.
The previous prime is 40566397. The next prime is 40566401. The reversal of 40566400 is 466504.
It is a happy number.
40566400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (40566401) 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 11 ways as a sum of consecutive naturals, for example, 21495 + ... + 23305.
It is an arithmetic number, because the mean of its divisors is an integer number (1193655).
Almost surely, 240566400 is an apocalyptic number.
40566400 is a gapful number since it is divisible by the number (40) 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 40566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57295440).
40566400 is an abundant number, since it is smaller than the sum of its proper divisors (74024480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40566400 is a wasteful number, since it uses less digits than its factorization.
40566400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1842 (or 1825 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
The square root of 40566400 is about 6369.1757708514. The cubic root of 40566400 is about 343.6018469003.
The spelling of 40566400 in words is "forty million, five hundred sixty-six thousand, four hundred".
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