Search a number
-
+
83638089 = 341377537
BaseRepresentation
bin1001111110000…
…11011101001001
312211101020220000
410333003131021
5132402404324
612144353213
72033624553
oct477033511
9184336800
1083638089
1143236597
1224015809
13144352c2
14b1724d3
1575219c9
hex4fc3749

83638089 has 20 divisors (see below), whose sum is σ = 125869524. Its totient is φ = 55344384.

The previous prime is 83638069. The next prime is 83638091. The reversal of 83638089 is 98083638.

83638089 is a `hidden beast` number, since 8 + 3 + 638 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42575625 + 41062464 = 6525^2 + 6408^2 .

It is not a de Polignac number, because 83638089 - 211 = 83636041 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83638069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7329 + ... + 14865.

Almost surely, 283638089 is an apocalyptic number.

It is an amenable number.

83638089 is a deficient number, since it is larger than the sum of its proper divisors (42231435).

83638089 is a wasteful number, since it uses less digits than its factorization.

83638089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83638089 is about 9145.3862138239. The cubic root of 83638089 is about 437.3220418001.

The spelling of 83638089 in words is "eighty-three million, six hundred thirty-eight thousand, eighty-nine".

Divisors: 1 3 9 27 81 137 411 1233 3699 7537 11097 22611 67833 203499 610497 1032569 3097707 9293121 27879363 83638089