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83835241 = 753892539
BaseRepresentation
bin1001111111100…
…11100101101001
312211202021022221
410333303211221
5132430211431
612152514041
72035405420
oct477634551
9184667287
1083835241
1143360726
12240ab921
13144a3c69
14b1c42b7
157560111
hex4ff3969

83835241 has 16 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 69683328.

The previous prime is 83835223. The next prime is 83835247. The reversal of 83835241 is 14253838.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 83835241 - 211 = 83833193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83835197 and 83835206.

It is not an unprimeable number, because it can be changed into a prime (83835247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31750 + ... + 34288.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 283835241 is an apocalyptic number.

It is an amenable number.

83835241 is a deficient number, since it is larger than the sum of its proper divisors (14919959).

83835241 is a wasteful number, since it uses less digits than its factorization.

83835241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688.

The product of its digits is 23040, while the sum is 34.

The square root of 83835241 is about 9156.1586377694. The cubic root of 83835241 is about 437.6653911824.

The spelling of 83835241 in words is "eighty-three million, eight hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 7 53 89 371 623 2539 4717 17773 33019 134567 225971 941969 1581797 11976463 83835241