Search a number
-
+
2008082196 = 223267782393
BaseRepresentation
bin111011110110000…
…1110011100010100
312011221120010220200
41313230032130110
513103032112241
6531132100500
7100522263021
oct16754163424
95157503820
102008082196
1194056796a
12480604730
13260047023
141509a0548
15bb45c4b6
hex77b0e714

2008082196 has 36 divisors (see below), whose sum is σ = 5083545012. Its totient is φ = 668363904.

The previous prime is 2008082189. The next prime is 2008082213. The reversal of 2008082196 is 6912808002.

It can be written as a sum of positive squares in 2 ways, for example, as 1923699600 + 84382596 = 43860^2 + 9186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2008082196.

It is a congruent number.

It is an unprimeable number.

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, 16825 + ... + 65568.

Almost surely, 22008082196 is an apocalyptic number.

It is an amenable number.

2008082196 is an abundant number, since it is smaller than the sum of its proper divisors (3075462816).

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

2008082196 is a wasteful number, since it uses less digits than its factorization.

2008082196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83080 (or 83075 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2008082196 is about 44811.6301421852. The cubic root of 2008082196 is about 1261.6159237022.

The spelling of 2008082196 in words is "two billion, eight million, eighty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 82393 164786 247179 329572 494358 741537 988716 1483074 2966148 55780061 111560122 167340183 223120244 334680366 502020549 669360732 1004041098 2008082196