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83127373 = 725332009
BaseRepresentation
bin1001111010001…
…10110001001101
312210102022022121
410331012301031
5132240033443
612125412541
72026366600
oct475066115
9183368277
1083127373
1142a1790a
1223a0a151
13142b69c4
14b07c337
1574704ed
hex4f46c4d

83127373 has 12 divisors (see below), whose sum is σ = 98526780. Its totient is φ = 69905472.

The previous prime is 83127371. The next prime is 83127379. The reversal of 83127373 is 37372138.

It can be written as a sum of positive squares in 2 ways, for example, as 20448484 + 62678889 = 4522^2 + 7917^2 .

It is not a de Polignac number, because 83127373 - 21 = 83127371 is a prime.

It is a super-2 number, since 2×831273732 = 13820320283762258, 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 (83127371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13408 + ... + 18601.

It is an arithmetic number, because the mean of its divisors is an integer number (8210565).

Almost surely, 283127373 is an apocalyptic number.

It is an amenable number.

83127373 is a deficient number, since it is larger than the sum of its proper divisors (15399407).

83127373 is a wasteful number, since it uses less digits than its factorization.

83127373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32076 (or 32069 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 83127373 is about 9117.4214008128. The cubic root of 83127373 is about 436.4300896571.

The spelling of 83127373 in words is "eighty-three million, one hundred twenty-seven thousand, three hundred seventy-three".

Divisors: 1 7 49 53 371 2597 32009 224063 1568441 1696477 11875339 83127373