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42712281 = 3228116889
BaseRepresentation
bin1010001011101…
…1110011011001
32222101000020100
42202323303121
541413243111
64123250013
71026022413
oct242736331
988330210
1042712281
1122123407
1212379909
138b06251
14595b9b3
153b3a756
hex28bbcd9

42712281 has 12 divisors (see below), whose sum is σ = 61918740. Its totient is φ = 28371840.

The previous prime is 42712249. The next prime is 42712289. The reversal of 42712281 is 18221724.

It can be written as a sum of positive squares in 2 ways, for example, as 12638025 + 30074256 = 3555^2 + 5484^2 .

It is not a de Polignac number, because 42712281 - 25 = 42712249 is a prime.

It is a super-3 number, since 3×427122813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42712289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5916 + ... + 10973.

It is an arithmetic number, because the mean of its divisors is an integer number (5159895).

Almost surely, 242712281 is an apocalyptic number.

It is an amenable number.

42712281 is a deficient number, since it is larger than the sum of its proper divisors (19206459).

42712281 is a wasteful number, since it uses less digits than its factorization.

42712281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17176 (or 17173 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 42712281 is about 6535.4633347606. The cubic root of 42712281 is about 349.5566658905.

The spelling of 42712281 in words is "forty-two million, seven hundred twelve thousand, two hundred eighty-one".

Divisors: 1 3 9 281 843 2529 16889 50667 152001 4745809 14237427 42712281