| Base | Representation |
|---|---|
| bin | 1001110111100… |
| … | …0101101010000 |
| 3 | 2212212202212111 |
| 4 | 2131320231100 |
| 5 | 41043421010 |
| 6 | 4035035104 |
| 7 | 1011541201 |
| oct | 235705520 |
| 9 | 85782774 |
| 10 | 41388880 |
| 11 | 213aa095 |
| 12 | 11a3ba94 |
| 13 | 8761a80 |
| 14 | 56d55a8 |
| 15 | 397858a |
| hex | 2778b50 |
41388880 has 80 divisors (see below), whose sum is σ = 109774224. Its totient is φ = 14376960.
The previous prime is 41388877. The next prime is 41388881. The reversal of 41388880 is 8888314.
41388880 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 8 ways, for example, as 69696 + 41319184 = 264^2 + 6428^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41388881) 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, 16510 + ... + 18850.
Almost surely, 241388880 is an apocalyptic number.
41388880 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 41388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54887112).
41388880 is an abundant number, since it is smaller than the sum of its proper divisors (68385344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41388880 is a wasteful number, since it uses less digits than its factorization.
41388880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2384 (or 2378 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 40.
The square root of 41388880 is about 6433.4189977025. The cubic root of 41388880 is about 345.9084926241.
The spelling of 41388880 in words is "forty-one million, three hundred eighty-eight thousand, eight hundred eighty".
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