Base | Representation |
---|---|
bin | 1001111101011… |
… | …1011100000000 |
3 | 2220121111010110 |
4 | 2133113130000 |
5 | 41143330041 |
6 | 4051231320 |
7 | 1015045350 |
oct | 237273400 |
9 | 86544113 |
10 | 41776896 |
11 | 21644667 |
12 | 11ba8540 |
13 | 8869575 |
14 | 5796b60 |
15 | 3a03516 |
hex | 27d7700 |
41776896 has 144 divisors (see below), whose sum is σ = 134086400. Its totient is φ = 11280384.
The previous prime is 41776883. The next prime is 41776913. The reversal of 41776896 is 69867714.
41776896 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 (48).
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, 101940 + ... + 102348.
Almost surely, 241776896 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 41776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67043200).
41776896 is an abundant number, since it is smaller than the sum of its proper divisors (92309504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41776896 is a wasteful number, since it uses less digits than its factorization.
41776896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 440 counting only the distinct ones).
The product of its digits is 508032, while the sum is 48.
The square root of 41776896 is about 6463.5049315368. The cubic root of 41776896 is about 346.9860829849.
The spelling of 41776896 in words is "forty-one million, seven hundred seventy-six thousand, eight hundred ninety-six".
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