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83138536 = 2313261493
BaseRepresentation
bin1001111010010…
…01011111101000
312210102212122001
410331021133220
5132240413121
612125540344
72026444255
oct475113750
9183385561
1083138536
1142a25238
1223a146b4
13142bbb00
14b08242c
157473991
hex4f497e8

83138536 has 24 divisors (see below), whose sum is σ = 168801030. Its totient is φ = 38371008.

The previous prime is 83138501. The next prime is 83138543. The reversal of 83138536 is 63583138.

It can be written as a sum of positive squares in 3 ways, for example, as 65448100 + 17690436 = 8090^2 + 4206^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83138495 and 83138504.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29395 + ... + 32098.

Almost surely, 283138536 is an apocalyptic number.

It is an amenable number.

83138536 is an abundant number, since it is smaller than the sum of its proper divisors (85662494).

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

83138536 is a wasteful number, since it uses less digits than its factorization.

83138536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61525 (or 61508 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 83138536 is about 9118.0335599295. The cubic root of 83138536 is about 436.4496245422.

The spelling of 83138536 in words is "eighty-three million, one hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 61493 122986 245972 491944 799409 1598818 3197636 6395272 10392317 20784634 41569268 83138536