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42811749 = 3241181641
BaseRepresentation
bin1010001101010…
…0000101100101
32222120001200100
42203110011211
541424433444
64125334313
71026615411
oct243240545
988501610
1042811749
1122191112
1212407399
138b3c5c6
145985d41
153b59e69
hex28d4165

42811749 has 24 divisors (see below), whose sum is σ = 63796824. Its totient is φ = 27648000.

The previous prime is 42811739. The next prime is 42811751. The reversal of 42811749 is 94711824.

It can be written as a sum of positive squares in 4 ways, for example, as 900 + 42810849 = 30^2 + 6543^2 .

It is not a de Polignac number, because 42811749 - 24 = 42811733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42811709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66469 + ... + 67109.

It is an arithmetic number, because the mean of its divisors is an integer number (2658201).

Almost surely, 242811749 is an apocalyptic number.

It is an amenable number.

42811749 is a deficient number, since it is larger than the sum of its proper divisors (20985075).

42811749 is a wasteful number, since it uses less digits than its factorization.

42811749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 866 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 42811749 is about 6543.0687754295. The cubic root of 42811749 is about 349.8278037305.

The spelling of 42811749 in words is "forty-two million, eight hundred eleven thousand, seven hundred forty-nine".

Divisors: 1 3 9 41 123 181 369 543 641 1629 1923 5769 7421 22263 26281 66789 78843 116021 236529 348063 1044189 4756861 14270583 42811749