Search a number
-
+
82448133 = 3832631259
BaseRepresentation
bin1001110101000…
…00111100000101
312202010210120120
410322200330011
5132101320013
612103052153
72020540365
oct472407405
9182123516
1082448133
11425a3559
1223741059
13141097a1
14ad429a5
157389123
hex4ea0f05

82448133 has 16 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 54053744.

The previous prime is 82448117. The next prime is 82448137. The reversal of 82448133 is 33184428.

It is a cyclic number.

It is not a de Polignac number, because 82448133 - 24 = 82448117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82448094 and 82448103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82448137) 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, 64858 + ... + 66116.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 282448133 is an apocalyptic number.

82448133 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82448133 is a deficient number, since it is larger than the sum of its proper divisors (29318907).

82448133 is a wasteful number, since it uses less digits than its factorization.

82448133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608.

The product of its digits is 18432, while the sum is 33.

The square root of 82448133 is about 9080.0954290139. The cubic root of 82448133 is about 435.2381362248.

The spelling of 82448133 in words is "eighty-two million, four hundred forty-eight thousand, one hundred thirty-three".

Divisors: 1 3 83 249 263 789 1259 3777 21829 65487 104497 313491 331117 993351 27482711 82448133