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42633133 is a prime number
BaseRepresentation
bin1010001010100…
…0011110101101
32222012222122221
42202220132231
541403230013
64121435341
71025242564
oct242503655
988188587
1042633133
11220799a4
121233bb51
138aa920a
14593abdb
153b2208d
hex28a87ad

42633133 has 2 divisors, whose sum is σ = 42633134. Its totient is φ = 42633132.

The previous prime is 42633119. The next prime is 42633181. The reversal of 42633133 is 33133624.

42633133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41705764 + 927369 = 6458^2 + 963^2 .

It is a cyclic number.

It is not a de Polignac number, because 42633133 - 213 = 42624941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42633098 and 42633107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42633113) 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 as a sum of consecutive naturals, namely, 21316566 + 21316567.

It is an arithmetic number, because the mean of its divisors is an integer number (21316567).

Almost surely, 242633133 is an apocalyptic number.

It is an amenable number.

42633133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42633133 is an equidigital number, since it uses as much as digits as its factorization.

42633133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 25.

The square root of 42633133 is about 6529.4052562236. The cubic root of 42633133 is about 349.3406170381.

Adding to 42633133 its reverse (33133624), we get a palindrome (75766757).

It can be divided in two parts, 4263 and 3133, that added together give a square (7396 = 862).

The spelling of 42633133 in words is "forty-two million, six hundred thirty-three thousand, one hundred thirty-three".