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42642333 = 3218126177
BaseRepresentation
bin1010001010101…
…0101110011101
32222020110021200
42202222232131
541404023313
64121550113
71025311446
oct242525635
988213250
1042642333
11220858a8
1212345339
138ab0466
1459402cd
153b24b73
hex28aab9d

42642333 has 12 divisors (see below), whose sum is σ = 61937148. Its totient is φ = 28270080.

The previous prime is 42642331. The next prime is 42642343. The reversal of 42642333 is 33324624.

It is a happy number.

42642333 is a `hidden beast` number, since 426 + 4 + 233 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19342404 + 23299929 = 4398^2 + 4827^2 .

It is not a de Polignac number, because 42642333 - 21 = 42642331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42642297 and 42642306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42642331) 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, 11460 + ... + 14717.

It is an arithmetic number, because the mean of its divisors is an integer number (5161429).

Almost surely, 242642333 is an apocalyptic number.

It is an amenable number.

42642333 is a deficient number, since it is larger than the sum of its proper divisors (19294815).

42642333 is a wasteful number, since it uses less digits than its factorization.

42642333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364 (or 26361 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 42642333 is about 6530.1097234273. The cubic root of 42642333 is about 349.3657438373.

Adding to 42642333 its reverse (33324624), we get a palindrome (75966957).

The spelling of 42642333 in words is "forty-two million, six hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 181 543 1629 26177 78531 235593 4738037 14214111 42642333