| Base | Representation |
|---|---|
| bin | 1001111000011… |
| … | …1101110100000 |
| 3 | 2212222220021000 |
| 4 | 2132013232200 |
| 5 | 41102403100 |
| 6 | 4040232000 |
| 7 | 1012215435 |
| oct | 236075640 |
| 9 | 85886230 |
| 10 | 41450400 |
| 11 | 21441332 |
| 12 | 11a6b600 |
| 13 | 8783a84 |
| 14 | 570db8c |
| 15 | 398b900 |
| hex | 2787ba0 |
41450400 has 288 divisors, whose sum is σ = 159364800. Its totient is φ = 10368000.
The previous prime is 41450377. The next prime is 41450401. The reversal of 41450400 is 405414.
41450400 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 (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (41450401) 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 47 ways as a sum of consecutive naturals, for example, 410350 + ... + 410450.
It is an arithmetic number, because the mean of its divisors is an integer number (553350).
Almost surely, 241450400 is an apocalyptic number.
41450400 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 41450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).
41450400 is an abundant number, since it is smaller than the sum of its proper divisors (117914400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41450400 is a wasteful number, since it uses less digits than its factorization.
41450400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 41450400 is about 6438.1985057934. The cubic root of 41450400 is about 346.0797927057.
Adding to 41450400 its reverse (405414), we get a palindrome (41855814).
The spelling of 41450400 in words is "forty-one million, four hundred fifty thousand, four hundred".
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