Base | Representation |
---|---|
bin | 1001111111110… |
… | …0101000100000 |
3 | 2220220020010010 |
4 | 2133330220200 |
5 | 41213213443 |
6 | 4054404520 |
7 | 1016251464 |
oct | 237745040 |
9 | 86806103 |
10 | 41929248 |
11 | 21739079 |
12 | 12060740 |
13 | 88c0a0a |
14 | 57d64a4 |
15 | 3a33733 |
hex | 27fca20 |
41929248 has 48 divisors (see below), whose sum is σ = 111101760. Its totient is φ = 13844736.
The previous prime is 41929247. The next prime is 41929249. The reversal of 41929248 is 84292914.
41929248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (41929247) and next prime (41929249).
It is a tau number, because it is divible by the number of its divisors (48).
It is not an unprimeable number, because it can be changed into a prime (41929243) 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 7 ways as a sum of consecutive naturals, for example, 8461 + ... + 12467.
It is an arithmetic number, because the mean of its divisors is an integer number (2314620).
Almost surely, 241929248 is an apocalyptic number.
41929248 is a gapful number since it is divisible by the number (48) 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 41929248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55550880).
41929248 is an abundant number, since it is smaller than the sum of its proper divisors (69172512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41929248 is a wasteful number, since it uses less digits than its factorization.
41929248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4129 (or 4121 counting only the distinct ones).
The product of its digits is 41472, while the sum is 39.
The square root of 41929248 is about 6475.2797622960. The cubic root of 41929248 is about 347.4073676113.
The spelling of 41929248 in words is "forty-one million, nine hundred twenty-nine thousand, two hundred forty-eight".
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