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40405311 = 35179781
BaseRepresentation
bin1001101000100…
…0100100111111
32211000210200000
42122020210333
540320432221
64002005343
71000303512
oct232104477
984023600
1040405311
1120898121
1211646853
1384a918b
14551ad79
153831e26
hex268893f

40405311 has 24 divisors (see below), whose sum is σ = 64091664. Its totient is φ = 25349760.

The previous prime is 40405237. The next prime is 40405331. The reversal of 40405311 is 11350404.

It is a happy number.

40405311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40405311 - 29 = 40404799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40405331) 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, 760 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (2670486).

Almost surely, 240405311 is an apocalyptic number.

40405311 is a deficient number, since it is larger than the sum of its proper divisors (23686353).

40405311 is an equidigital number, since it uses as much as digits as its factorization.

40405311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40405311 is about 6356.5172067729. The cubic root of 40405311 is about 343.1464297285.

Adding to 40405311 its reverse (11350404), we get a palindrome (51755715).

The spelling of 40405311 in words is "forty million, four hundred five thousand, three hundred eleven".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 9781 29343 88029 166277 264087 498831 792261 1496493 2376783 4489479 13468437 40405311