Base | Representation |
---|---|
bin | 1001111000010… |
… | …1111110000000 |
3 | 2212222112101100 |
4 | 2132011332000 |
5 | 41102140300 |
6 | 4040134400 |
7 | 1012155441 |
oct | 236057600 |
9 | 85875340 |
10 | 41443200 |
11 | 21436987 |
12 | 11a67400 |
13 | 8780706 |
14 | 570b2c8 |
15 | 3989700 |
hex | 2785f80 |
41443200 has 144 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 11043840.
The previous prime is 41443189. The next prime is 41443201. The reversal of 41443200 is 234414.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41443201) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28081 + ... + 29519.
It is an arithmetic number, because the mean of its divisors is an integer number (1027650).
Almost surely, 241443200 is an apocalyptic number.
41443200 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 41443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).
41443200 is an abundant number, since it is smaller than the sum of its proper divisors (106538400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41443200 is a wasteful number, since it uses less digits than its factorization.
41443200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 41443200 is about 6437.6393188808. The cubic root of 41443200 is about 346.0597533430.
Adding to 41443200 its reverse (234414), we get a palindrome (41677614).
The spelling of 41443200 in words is "forty-one million, four hundred forty-three thousand, two hundred".
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