Base | Representation |
---|---|
bin | 1001101001111… |
… | …0100000000000 |
3 | 2211012100211200 |
4 | 2122132200000 |
5 | 40331320404 |
6 | 4003541200 |
7 | 1001126346 |
oct | 232364000 |
9 | 84170750 |
10 | 40495104 |
11 | 20949631 |
12 | 1168a800 |
13 | 850b000 |
14 | 5541996 |
15 | 384d839 |
hex | 269e800 |
40495104 has 144 divisors (see below), whose sum is σ = 126699300. Its totient is φ = 12460032.
The previous prime is 40495097. The next prime is 40495109. The reversal of 40495104 is 40159404.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 27878400 = 3552^2 + 5280^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (40495109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115002 + ... + 3115014.
Almost surely, 240495104 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 40495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63349650).
40495104 is an abundant number, since it is smaller than the sum of its proper divisors (86204196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40495104 is an equidigital number, since it uses as much as digits as its factorization.
40495104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 40495104 is about 6363.5763529638. The cubic root of 40495104 is about 343.4004338850.
The spelling of 40495104 in words is "forty million, four hundred ninety-five thousand, one hundred four".
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