Base | Representation |
---|---|
bin | 1001100101110… |
… | …0010110000100 |
3 | 2210200121010200 |
4 | 2121130112010 |
5 | 40244133012 |
6 | 3554050500 |
7 | 665620344 |
oct | 231342604 |
9 | 83617120 |
10 | 40224132 |
11 | 20783a93 |
12 | 11579a30 |
13 | 8444880 |
14 | 54b0d24 |
15 | 37e83dc |
hex | 265c584 |
40224132 has 72 divisors (see below), whose sum is σ = 111373080. Its totient is φ = 12165120.
The previous prime is 40224103. The next prime is 40224133. The reversal of 40224132 is 23142204.
It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 32901696 = 2706^2 + 5736^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (40224133) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27844 + ... + 29252.
Almost surely, 240224132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55686540).
40224132 is an abundant number, since it is smaller than the sum of its proper divisors (71148948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40224132 is a wasteful number, since it uses less digits than its factorization.
40224132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 40224132 is about 6342.2497585636. The cubic root of 40224132 is about 342.6327671822.
Adding to 40224132 its reverse (23142204), we get a palindrome (63366336).
The spelling of 40224132 in words is "forty million, two hundred twenty-four thousand, one hundred thirty-two".
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