Base | Representation |
---|---|
bin | 1001111101011… |
… | …0111010000000 |
3 | 2220121101010212 |
4 | 2133112322000 |
5 | 41143242340 |
6 | 4051213252 |
7 | 1015036121 |
oct | 237267200 |
9 | 86541125 |
10 | 41774720 |
11 | 21642a69 |
12 | 11ba7228 |
13 | 8868590 |
14 | 5796048 |
15 | 3a02a65 |
hex | 27d6e80 |
41774720 has 64 divisors (see below), whose sum is σ = 107571240. Its totient is φ = 15421440.
The previous prime is 41774713. The next prime is 41774723. The reversal of 41774720 is 2747714.
41774720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 7011904 = 5896^2 + 2648^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is not an unprimeable number, because it can be changed into a prime (41774723) 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, 5810 + ... + 10830.
Almost surely, 241774720 is an apocalyptic number.
41774720 is a gapful number since it is divisible by the number (40) 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 41774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785620).
41774720 is an abundant number, since it is smaller than the sum of its proper divisors (65796520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41774720 is a wasteful number, since it uses less digits than its factorization.
41774720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5053 (or 5041 counting only the distinct ones).
The product of its (nonzero) digits is 10976, while the sum is 32.
The square root of 41774720 is about 6463.3365996210. The cubic root of 41774720 is about 346.9800584841.
The spelling of 41774720 in words is "forty-one million, seven hundred seventy-four thousand, seven hundred twenty".
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