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83283642 = 23213355913
BaseRepresentation
bin1001111011011…
…00111010111010
312210201020200100
410331230322322
5132310034032
612133020230
72030620311
oct475547272
9183636610
1083283642
1143014262
1223a84676
131433cb80
14b0bd278
1574a197c
hex4f6ceba

83283642 has 24 divisors (see below), whose sum is σ = 194329044. Its totient is φ = 25625664.

The previous prime is 83283601. The next prime is 83283649. The reversal of 83283642 is 24638238.

83283642 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 3 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77422401 + 5861241 = 8799^2 + 2421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83283597 and 83283606.

It is not an unprimeable number, because it can be changed into a prime (83283649) 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 11 ways as a sum of consecutive naturals, for example, 177723 + ... + 178190.

Almost surely, 283283642 is an apocalyptic number.

83283642 is an abundant number, since it is smaller than the sum of its proper divisors (111045402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83283642 is a wasteful number, since it uses less digits than its factorization.

83283642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355934 (or 355931 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83283642 is about 9125.9871794782. The cubic root of 83283642 is about 436.7033963497.

The spelling of 83283642 in words is "eighty-three million, two hundred eighty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 355913 711826 1067739 2135478 3203217 4626869 6406434 9253738 13880607 27761214 41641821 83283642