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83750349 = 3793131129
BaseRepresentation
bin1001111110111…
…10110111001101
312211120221212210
410333132313031
5132420002344
612151021033
72034603054
oct477366715
9184527783
1083750349
1143302971
122406a779
1314474427
14b1a139b
157544db9
hex4fdedcd

83750349 has 16 divisors (see below), whose sum is σ = 113542400. Its totient is φ = 54902016.

The previous prime is 83750339. The next prime is 83750353. The reversal of 83750349 is 94305738.

It is not a de Polignac number, because 83750349 - 27 = 83750221 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83750339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73617 + ... + 74745.

It is an arithmetic number, because the mean of its divisors is an integer number (7096400).

Almost surely, 283750349 is an apocalyptic number.

It is an amenable number.

83750349 is a deficient number, since it is larger than the sum of its proper divisors (29792051).

83750349 is a wasteful number, since it uses less digits than its factorization.

83750349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 83750349 is about 9151.5216767486. The cubic root of 83750349 is about 437.5176138759.

The spelling of 83750349 in words is "eighty-three million, seven hundred fifty thousand, three hundred forty-nine".

Divisors: 1 3 79 237 313 939 1129 3387 24727 74181 89191 267573 353377 1060131 27916783 83750349