Base | Representation |
---|---|
bin | 1001111000101… |
… | …1101111000000 |
3 | 2220000201210000 |
4 | 2132023233000 |
5 | 41103414231 |
6 | 4040440000 |
7 | 1012314336 |
oct | 236135700 |
9 | 86021700 |
10 | 41466816 |
11 | 214526a6 |
12 | 11a79000 |
13 | 878b3a1 |
14 | 5715b56 |
15 | 39916e6 |
hex | 278bbc0 |
41466816 has 140 divisors (see below), whose sum is σ = 129697480. Its totient is φ = 13063680.
The previous prime is 41466779. The next prime is 41466833. The reversal of 41466816 is 61866414.
41466816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
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 19 ways as a sum of consecutive naturals, for example, 98286 + ... + 98706.
Almost surely, 241466816 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 41466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64848740).
41466816 is an abundant number, since it is smaller than the sum of its proper divisors (88230664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41466816 is a wasteful number, since it uses less digits than its factorization.
41466816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 464 (or 445 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 41466816 is about 6439.4732703848. The cubic root of 41466816 is about 346.1254737771.
The spelling of 41466816 in words is "forty-one million, four hundred sixty-six thousand, eight hundred sixteen".
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