Base | Representation |
---|---|
bin | 1001100110011… |
… | …0111011100000 |
3 | 2210202210121110 |
4 | 2121212323200 |
5 | 40302024423 |
6 | 3555023320 |
7 | 666160632 |
oct | 231467340 |
9 | 83683543 |
10 | 40267488 |
11 | 20803618 |
12 | 1159ab40 |
13 | 845b521 |
14 | 54c2a52 |
15 | 3806193 |
hex | 2666ee0 |
40267488 has 48 divisors (see below), whose sum is σ = 106774416. Its totient is φ = 13286400.
The previous prime is 40267483. The next prime is 40267489. The reversal of 40267488 is 88476204.
40267488 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 (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40267483) 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, 7620 + ... + 11772.
It is an arithmetic number, because the mean of its divisors is an integer number (2224467).
Almost surely, 240267488 is an apocalyptic number.
40267488 is a gapful number since it is divisible by the number (48) 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 40267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53387208).
40267488 is an abundant number, since it is smaller than the sum of its proper divisors (66506928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40267488 is a wasteful number, since it uses less digits than its factorization.
40267488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4267 (or 4259 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 39.
The square root of 40267488 is about 6345.6668680289. Note that the first 3 decimals coincide. The cubic root of 40267488 is about 342.7558264125.
It can be divided in two parts, 40267 and 488, that added together give a triangular number (40755 = T285).
The spelling of 40267488 in words is "forty million, two hundred sixty-seven thousand, four hundred eighty-eight".
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