Base | Representation |
---|---|
bin | 1001111110001… |
… | …0110011001000 |
3 | 2220200211222000 |
4 | 2133202303020 |
5 | 41201322212 |
6 | 4052231000 |
7 | 1015331130 |
oct | 237426310 |
9 | 86624860 |
10 | 41823432 |
11 | 21676622 |
12 | 1200b460 |
13 | 88847c1 |
14 | 57a9ac0 |
15 | 3a121dc |
hex | 27e2cc8 |
41823432 has 128 divisors (see below), whose sum is σ = 134400000. Its totient is φ = 11803968.
The previous prime is 41823367. The next prime is 41823437. The reversal of 41823432 is 23432814.
41823432 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 (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 41823396 and 41823405.
It is not an unprimeable number, because it can be changed into a prime (41823437) 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 31 ways as a sum of consecutive naturals, for example, 210069 + ... + 210267.
It is an arithmetic number, because the mean of its divisors is an integer number (1050000).
Almost surely, 241823432 is an apocalyptic number.
41823432 is a gapful number since it is divisible by the number (42) 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 41823432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200000).
41823432 is an abundant number, since it is smaller than the sum of its proper divisors (92576568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41823432 is a wasteful number, since it uses less digits than its factorization.
41823432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360 (or 350 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 41823432 is about 6467.1038340203. The cubic root of 41823432 is about 347.1148730899.
The spelling of 41823432 in words is "forty-one million, eight hundred twenty-three thousand, four hundred thirty-two".
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