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33882041 is a prime number
BaseRepresentation
bin1000000100111…
…1111110111001
32100202101102102
42001033332321
532133211131
63210113145
7560664314
oct201177671
970671372
1033882041
1118142096
12b41b7b5
137033c5b
1446dd97b
152e941cb
hex204ffb9

33882041 has 2 divisors, whose sum is σ = 33882042. Its totient is φ = 33882040.

The previous prime is 33882029. The next prime is 33882049. The reversal of 33882041 is 14028833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33304441 + 577600 = 5771^2 + 760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33882041 is a prime.

It is a super-2 number, since 2×338820412 = 2295985404651362, which contains 22 as substring.

It is a Chen prime.

It is equal to p2082638 and since 33882041 and 2082638 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 33881995 and 33882013.

It is not a weakly prime, because it can be changed into another prime (33882049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16941020 + 16941021.

It is an arithmetic number, because the mean of its divisors is an integer number (16941021).

Almost surely, 233882041 is an apocalyptic number.

It is an amenable number.

33882041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33882041 is an equidigital number, since it uses as much as digits as its factorization.

33882041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 33882041 is about 5820.8282056766. The cubic root of 33882041 is about 323.5860976241.

The spelling of 33882041 in words is "thirty-three million, eight hundred eighty-two thousand, forty-one".