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40414041 = 3273137449
BaseRepresentation
bin1001101000101…
…0101101011001
32211001020122100
42122022231121
540321222131
64002114013
71000341123
oct232125531
984036570
1040414041
11208a3738
121164b909
1384b0145
145520213
1538347e6
hex268ab59

40414041 has 24 divisors (see below), whose sum is σ = 59740200. Its totient is φ = 26320896.

The previous prime is 40414009. The next prime is 40414061. The reversal of 40414041 is 14041404.

40414041 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 10208025 + 30206016 = 3195^2 + 5496^2 .

It is not a de Polignac number, because 40414041 - 25 = 40414009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40414061) 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 23 ways as a sum of consecutive naturals, for example, 89785 + ... + 90233.

It is an arithmetic number, because the mean of its divisors is an integer number (2489175).

Almost surely, 240414041 is an apocalyptic number.

It is an amenable number.

40414041 is a deficient number, since it is larger than the sum of its proper divisors (19326159).

40414041 is a wasteful number, since it uses less digits than its factorization.

40414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40414041 is about 6357.2038664809. The cubic root of 40414041 is about 343.1711414354.

Adding to 40414041 its reverse (14041404), we get a palindrome (54455445).

The spelling of 40414041 in words is "forty million, four hundred fourteen thousand, forty-one".

Divisors: 1 3 9 73 137 219 411 449 657 1233 1347 4041 10001 30003 32777 61513 90009 98331 184539 294993 553617 4490449 13471347 40414041