Base | Representation |
---|---|
bin | 1001101010011… |
… | …1100111000100 |
3 | 2211021021000202 |
4 | 2122213213010 |
5 | 40334014140 |
6 | 4004430032 |
7 | 1001343215 |
oct | 232474704 |
9 | 84237022 |
10 | 40532420 |
11 | 20974675 |
12 | 116a8318 |
13 | 8521ca6 |
14 | 555140c |
15 | 3859915 |
hex | 26a79c4 |
40532420 has 48 divisors (see below), whose sum is σ = 91128240. Its totient is φ = 15089664.
The previous prime is 40532399. The next prime is 40532423. The reversal of 40532420 is 2423504.
40532420 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 5769604 + 34762816 = 2402^2 + 5896^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 40532392 and 40532401.
It is not an unprimeable number, because it can be changed into a prime (40532423) 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, 32366 + ... + 33594.
It is an arithmetic number, because the mean of its divisors is an integer number (1898505).
Almost surely, 240532420 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 40532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45564120).
40532420 is an abundant number, since it is smaller than the sum of its proper divisors (50595820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40532420 is a wasteful number, since it uses less digits than its factorization.
40532420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 20.
The square root of 40532420 is about 6366.5076768979. The cubic root of 40532420 is about 343.5058819946.
Adding to 40532420 its reverse (2423504), we get a palindrome (42955924).
The spelling of 40532420 in words is "forty million, five hundred thirty-two thousand, four hundred twenty".
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