Search a number
-
+
82850823 = 3311713929
BaseRepresentation
bin1001111000000…
…11010000000111
312202220020222000
410330003100013
5132202211243
612115440343
72024135406
oct474032007
9182806860
1082850823
1142849060
12238b60b3
131421ab73
14b00963d
1574185d3
hex4f03407

82850823 has 32 divisors (see below), whose sum is σ = 135820800. Its totient is φ = 49492800.

The previous prime is 82850821. The next prime is 82850837. The reversal of 82850823 is 32805828.

It is not a de Polignac number, because 82850823 - 21 = 82850821 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82850821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19123 + ... + 23051.

It is an arithmetic number, because the mean of its divisors is an integer number (4244400).

Almost surely, 282850823 is an apocalyptic number.

82850823 is a deficient number, since it is larger than the sum of its proper divisors (52969977).

82850823 is a wasteful number, since it uses less digits than its factorization.

82850823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 82850823 is about 9102.2427456095. The cubic root of 82850823 is about 435.9455768419.

The spelling of 82850823 in words is "eighty-two million, eight hundred fifty thousand, eight hundred twenty-three".

Divisors: 1 3 9 11 27 33 71 99 213 297 639 781 1917 2343 3929 7029 11787 21087 35361 43219 106083 129657 278959 388971 836877 1166913 2510631 3068549 7531893 9205647 27616941 82850823