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42771726 = 234833181
BaseRepresentation
bin1010001100101…
…0010100001110
32222111000210000
42203022110032
541422143401
64124425130
71026360624
oct243122416
988430700
1042771726
1122164038
12123a81a6
138b2731a
145975514
153b4d186
hex28ca50e

42771726 has 40 divisors (see below), whose sum is σ = 97025544. Its totient is φ = 14081040.

The previous prime is 42771721. The next prime is 42771731. The reversal of 42771726 is 62717724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42771721) and next prime (42771731).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42771721) 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 19 ways as a sum of consecutive naturals, for example, 11856 + ... + 15036.

Almost surely, 242771726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42771726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48512772).

42771726 is an abundant number, since it is smaller than the sum of its proper divisors (54253818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42771726 is a wasteful number, since it uses less digits than its factorization.

42771726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3269 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 42771726 is about 6540.0096330204. The cubic root of 42771726 is about 349.7187563792.

The spelling of 42771726 in words is "forty-two million, seven hundred seventy-one thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 1494 2241 3181 4482 6362 6723 9543 13446 19086 28629 57258 85887 171774 257661 264023 515322 528046 792069 1584138 2376207 4752414 7128621 14257242 21385863 42771726