Base | Representation |
---|---|
bin | 1001101001000… |
… | …1011001100000 |
3 | 2211002122020010 |
4 | 2122101121200 |
5 | 40323111230 |
6 | 4002444520 |
7 | 1000514034 |
oct | 232213140 |
9 | 84078203 |
10 | 40441440 |
11 | 20912286 |
12 | 11663740 |
13 | 84bc760 |
14 | 552a1c4 |
15 | 383c9b0 |
hex | 2691660 |
40441440 has 96 divisors (see below), whose sum is σ = 137210976. Its totient is φ = 9953280.
The previous prime is 40441409. The next prime is 40441459. The reversal of 40441440 is 4414404.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000 + ... + 9480.
It is an arithmetic number, because the mean of its divisors is an integer number (1429281).
Almost surely, 240441440 is an apocalyptic number.
40441440 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 40441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68605488).
40441440 is an abundant number, since it is smaller than the sum of its proper divisors (96769536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40441440 is a wasteful number, since it uses less digits than its factorization.
40441440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 21.
The square root of 40441440 is about 6359.3584582094. The cubic root of 40441440 is about 343.2486757265.
Adding to 40441440 its reverse (4414404), we get a palindrome (44855844).
The spelling of 40441440 in words is "forty million, four hundred forty-one thousand, four hundred forty".
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