Base | Representation |
---|---|
bin | 1001101111110… |
… | …1110001000000 |
3 | 2211221012002211 |
4 | 2123331301000 |
5 | 40431312222 |
6 | 4020151504 |
7 | 1004343106 |
oct | 233756100 |
9 | 84835084 |
10 | 40885312 |
11 | 21095816 |
12 | 11838594 |
13 | 86167c0 |
14 | 5603c76 |
15 | 38c9277 |
hex | 26fdc40 |
40885312 has 56 divisors (see below), whose sum is σ = 88210136. Its totient is φ = 18690048.
The previous prime is 40885307. The next prime is 40885319. The reversal of 40885312 is 21358804.
40885312 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 4 ways, for example, as 2742336 + 38142976 = 1656^2 + 6176^2 .
It is not an unprimeable number, because it can be changed into a prime (40885319) 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, 130468 + ... + 130780.
It is an arithmetic number, because the mean of its divisors is an integer number (1575181).
It is a vampire number, since it can be written as 5024 ⋅ 8138 (with its own digits).
Almost surely, 240885312 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 40885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44105068).
40885312 is an abundant number, since it is smaller than the sum of its proper divisors (47324824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40885312 is a wasteful number, since it uses less digits than its factorization.
40885312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 495 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 31.
The square root of 40885312 is about 6394.1623376327. The cubic root of 40885312 is about 344.4999041542.
The spelling of 40885312 in words is "forty million, eight hundred eighty-five thousand, three hundred twelve".
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