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83247841 = 894612029
BaseRepresentation
bin1001111011001…
…00001011100001
312210122102120101
410331210023201
5132302412331
612132142401
72030411035
oct475441341
9183572511
1083247841
1142a9a376
1223a67a01
13143297a1
14b0b01c5
157496061
hex4f642e1

83247841 has 8 divisors (see below), whose sum is σ = 84407400. Its totient is φ = 82093440.

The previous prime is 83247839. The next prime is 83247847. The reversal of 83247841 is 14874238.

It can be written as a sum of positive squares in 4 ways, for example, as 17977600 + 65270241 = 4240^2 + 8079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83247841 - 21 = 83247839 is a prime.

It is a super-4 number, since 4×832478414 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83247841.

It is not an unprimeable number, because it can be changed into a prime (83247847) 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 in 7 ways as a sum of consecutive naturals, for example, 40015 + ... + 42043.

It is an arithmetic number, because the mean of its divisors is an integer number (10550925).

Almost surely, 283247841 is an apocalyptic number.

It is an amenable number.

83247841 is a deficient number, since it is larger than the sum of its proper divisors (1159559).

83247841 is a wasteful number, since it uses less digits than its factorization.

83247841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579.

The product of its digits is 43008, while the sum is 37.

The square root of 83247841 is about 9124.0254822090. The cubic root of 83247841 is about 436.6408123949.

The spelling of 83247841 in words is "eighty-three million, two hundred forty-seven thousand, eight hundred forty-one".

Divisors: 1 89 461 2029 41029 180581 935369 83247841