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83948041 is a prime number
BaseRepresentation
bin1010000000011…
…11001000001001
312211222000001201
411000033020021
5132442314131
612155144201
72036355322
oct500171011
9184860051
1083948041
1143428451
1224145061
13145133c8
14b213449
157583761
hex500f209

83948041 has 2 divisors, whose sum is σ = 83948042. Its totient is φ = 83948040.

The previous prime is 83948021. The next prime is 83948087. The reversal of 83948041 is 14084938.

It is the 3741-st star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67980025 + 15968016 = 8245^2 + 3996^2 .

It is a cyclic number.

It is not a de Polignac number, because 83948041 - 211 = 83945993 is a prime.

It is equal to p4886272 and since 83948041 and 4886272 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (83948021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41974020 + 41974021.

It is an arithmetic number, because the mean of its divisors is an integer number (41974021).

Almost surely, 283948041 is an apocalyptic number.

It is an amenable number.

83948041 is a deficient number, since it is larger than the sum of its proper divisors (1).

83948041 is an equidigital number, since it uses as much as digits as its factorization.

83948041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 83948041 is about 9162.3163555948. The cubic root of 83948041 is about 437.8615955880.

The spelling of 83948041 in words is "eighty-three million, nine hundred forty-eight thousand, forty-one".