Base | Representation |
---|---|
bin | 1010000000110… |
… | …1101111100000 |
3 | 2221000210020200 |
4 | 2200031233200 |
5 | 41222434303 |
6 | 4100105200 |
7 | 1016663010 |
oct | 240155740 |
9 | 87023220 |
10 | 41999328 |
11 | 21786798 |
12 | 12095200 |
13 | 8916897 |
14 | 5813c40 |
15 | 3a493a3 |
hex | 280dbe0 |
41999328 has 144 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 11808000.
The previous prime is 41999273. The next prime is 41999359. The reversal of 41999328 is 82399914.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×419993283 (a number of 24 digits) contains 333 as substring.
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 (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167203 + ... + 167453.
It is an arithmetic number, because the mean of its divisors is an integer number (963144).
Almost surely, 241999328 is an apocalyptic number.
41999328 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 41999328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).
41999328 is an abundant number, since it is smaller than the sum of its proper divisors (96693408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41999328 is a wasteful number, since it uses less digits than its factorization.
41999328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 357 (or 346 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The square root of 41999328 is about 6480.6888522749. The cubic root of 41999328 is about 347.6008105979.
The spelling of 41999328 in words is "forty-one million, nine hundred ninety-nine thousand, three hundred twenty-eight".
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