Base | Representation |
---|---|
bin | 1001101001000… |
… | …0000101100000 |
3 | 2211002100212000 |
4 | 2122100011200 |
5 | 40322423224 |
6 | 4002404000 |
7 | 1000462254 |
oct | 232200540 |
9 | 84070760 |
10 | 40436064 |
11 | 20909239 |
12 | 11660600 |
13 | 84ba186 |
14 | 5528264 |
15 | 383b0c9 |
hex | 2690160 |
40436064 has 96 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 12681216.
The previous prime is 40436029. The next prime is 40436069. The reversal of 40436064 is 46063404.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40436069) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13312 + ... + 16064.
It is an arithmetic number, because the mean of its divisors is an integer number (1301265).
Almost surely, 240436064 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 40436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).
40436064 is an abundant number, since it is smaller than the sum of its proper divisors (84485376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40436064 is a wasteful number, since it uses less digits than its factorization.
40436064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2789 (or 2775 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 40436064 is about 6358.9357600152. The cubic root of 40436064 is about 343.2334653660.
Adding to 40436064 its reverse (46063404), we get a palindrome (86499468).
The spelling of 40436064 in words is "forty million, four hundred thirty-six thousand, sixty-four".
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