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83132959 = 7213210039
BaseRepresentation
bin1001111010010…
…00001000011111
312210102120222111
410331020020133
5132240223314
612125454451
72026422100
oct475101037
9183376874
1083132959
1142a21028
1223a11427
13142b9400
14b0803a7
157471ec4
hex4f4821f

83132959 has 18 divisors (see below), whose sum is σ = 104727240. Its totient is φ = 65768976.

The previous prime is 83132939. The next prime is 83133019. The reversal of 83132959 is 95923138.

It is not a de Polignac number, because 83132959 - 25 = 83132927 is a prime.

It is a super-2 number, since 2×831329592 = 13822177744191362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83132909) 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 17 ways as a sum of consecutive naturals, for example, 3262 + ... + 13300.

It is an arithmetic number, because the mean of its divisors is an integer number (5818180).

Almost surely, 283132959 is an apocalyptic number.

83132959 is a deficient number, since it is larger than the sum of its proper divisors (21594281).

83132959 is a wasteful number, since it uses less digits than its factorization.

83132959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10059 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 83132959 is about 9117.7277322807. The cubic root of 83132959 is about 436.4398651931.

The spelling of 83132959 in words is "eighty-three million, one hundred thirty-two thousand, nine hundred fifty-nine".

Divisors: 1 7 13 49 91 169 637 1183 8281 10039 70273 130507 491911 913549 1696591 6394843 11876137 83132959