Base | Representation |
---|---|
bin | 1001111101100… |
… | …0110011010000 |
3 | 2220121202210021 |
4 | 2133120303100 |
5 | 41144014410 |
6 | 4051313224 |
7 | 1015100545 |
oct | 237306320 |
9 | 86552707 |
10 | 41782480 |
11 | 21648883 |
12 | 11bab814 |
13 | 886bc7c |
14 | 5798bcc |
15 | 3a04eda |
hex | 27d8cd0 |
41782480 has 20 divisors (see below), whose sum is σ = 97144452. Its totient is φ = 16712960.
The previous prime is 41782469. The next prime is 41782487. The reversal of 41782480 is 8428714.
41782480 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 2 ways, for example, as 26132544 + 15649936 = 5112^2 + 3956^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41782487) 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 3 ways as a sum of consecutive naturals, for example, 261061 + ... + 261220.
Almost surely, 241782480 is an apocalyptic number.
41782480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
41782480 is an abundant number, since it is smaller than the sum of its proper divisors (55361972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41782480 is a wasteful number, since it uses less digits than its factorization.
41782480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 522294 (or 522288 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 34.
The square root of 41782480 is about 6463.9368808799. The cubic root of 41782480 is about 347.0015419598.
The spelling of 41782480 in words is "forty-one million, seven hundred eighty-two thousand, four hundred eighty".
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