Base | Representation |
---|---|
bin | 1001101001010… |
… | …1110011000000 |
3 | 2211010112221101 |
4 | 2122111303000 |
5 | 40324200311 |
6 | 4003104144 |
7 | 1000620412 |
oct | 232256300 |
9 | 84115841 |
10 | 40459456 |
11 | 20924874 |
12 | 11672054 |
13 | 84c7a0b |
14 | 55329b2 |
15 | 3842ec1 |
hex | 2695cc0 |
40459456 has 56 divisors (see below), whose sum is σ = 87178896. Its totient is φ = 18554880.
The previous prime is 40459423. The next prime is 40459457. The reversal of 40459456 is 65495404.
It is not an unprimeable number, because it can be changed into a prime (40459457) 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 7 ways as a sum of consecutive naturals, for example, 44155 + ... + 45061.
It is an arithmetic number, because the mean of its divisors is an integer number (1556766).
Almost surely, 240459456 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 40459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589448).
40459456 is an abundant number, since it is smaller than the sum of its proper divisors (46719440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40459456 is a wasteful number, since it uses less digits than its factorization.
40459456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 977 (or 967 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 37.
The square root of 40459456 is about 6360.7747955733. The cubic root of 40459456 is about 343.2996387164.
The spelling of 40459456 in words is "forty million, four hundred fifty-nine thousand, four hundred fifty-six".
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