Base | Representation |
---|---|
bin | 1001111011111… |
… | …0110010000000 |
3 | 2220102100121000 |
4 | 2132332302000 |
5 | 41132112104 |
6 | 4045132000 |
7 | 1014145044 |
oct | 236766200 |
9 | 86370530 |
10 | 41675904 |
11 | 215857a6 |
12 | 11b5a000 |
13 | 88325ca |
14 | 576c024 |
15 | 39d3639 |
hex | 27bec80 |
41675904 has 128 divisors (see below), whose sum is σ = 127296000. Its totient is φ = 13409280.
The previous prime is 41675903. The next prime is 41675923. The reversal of 41675904 is 40957614.
41675904 is a `hidden beast` number, since 4 + 1 + 67 + 590 + 4 = 666.
41675904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41675903) 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 15 ways as a sum of consecutive naturals, for example, 106942 + ... + 107330.
It is an arithmetic number, because the mean of its divisors is an integer number (994500).
Almost surely, 241675904 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 41675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648000).
41675904 is an abundant number, since it is smaller than the sum of its proper divisors (85620096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41675904 is a wasteful number, since it uses less digits than its factorization.
41675904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 425 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 41675904 is about 6455.6877247897. The cubic root of 41675904 is about 346.7062545192.
The spelling of 41675904 in words is "forty-one million, six hundred seventy-five thousand, nine hundred four".
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