Base | Representation |
---|---|
bin | 1001100101111… |
… | …0100111010000 |
3 | 2210201001212211 |
4 | 2121132213100 |
5 | 40244432144 |
6 | 3554201504 |
7 | 665656420 |
oct | 231364720 |
9 | 83631784 |
10 | 40233424 |
11 | 2078aa70 |
12 | 11583294 |
13 | 8448b7a |
14 | 54b4480 |
15 | 37eb034 |
hex | 265e9d0 |
40233424 has 120 divisors (see below), whose sum is σ = 104154048. Its totient is φ = 14622720.
The previous prime is 40233409. The next prime is 40233449. The reversal of 40233424 is 42433204.
40233424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 40233395 and 40233404.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 355992 + ... + 356104.
Almost surely, 240233424 is an apocalyptic number.
40233424 is a gapful number since it is divisible by the number (44) 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 40233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52077024).
40233424 is an abundant number, since it is smaller than the sum of its proper divisors (63920624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40233424 is a wasteful number, since it uses less digits than its factorization.
40233424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 22.
The square root of 40233424 is about 6342.9822638882. The cubic root of 40233424 is about 342.6591485142.
Adding to 40233424 its reverse (42433204), we get a palindrome (82666628).
It can be divided in two parts, 4023 and 3424, that added together give a palindrome (7447).
The spelling of 40233424 in words is "forty million, two hundred thirty-three thousand, four hundred twenty-four".
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