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83138363 = 7113073517
BaseRepresentation
bin1001111010010…
…01011100111011
312210102212101122
410331021130323
5132240411423
612125535455
72026443620
oct475113473
9183385348
1083138363
1142a250a0
1223a1458b
13142bb9c9
14b082347
1574738c8
hex4f4973b

83138363 has 16 divisors (see below), whose sum is σ = 104020224. Its totient is φ = 64553760.

The previous prime is 83138351. The next prime is 83138387. The reversal of 83138363 is 36383138.

It is a cyclic number.

It is not a de Polignac number, because 83138363 - 210 = 83137339 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (83138323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21881 + ... + 25397.

It is an arithmetic number, because the mean of its divisors is an integer number (6501264).

Almost surely, 283138363 is an apocalyptic number.

83138363 is a deficient number, since it is larger than the sum of its proper divisors (20881861).

83138363 is a wasteful number, since it uses less digits than its factorization.

83138363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842.

The product of its digits is 31104, while the sum is 35.

The square root of 83138363 is about 9118.0240732299. The cubic root of 83138363 is about 436.4493218112.

The spelling of 83138363 in words is "eighty-three million, one hundred thirty-eight thousand, three hundred sixty-three".

Divisors: 1 7 11 77 307 2149 3377 3517 23639 24619 38687 270809 1079719 7558033 11876909 83138363