Search a number
-
+
82419804 = 223210972087
BaseRepresentation
bin1001110100110…
…10000001011100
312202002100201100
410322122001130
5132044413204
612102313100
72020361655
oct472320134
9182070640
1082419804
1142584245
1223728790
13140c991c
14ad3652c
157380a39
hex4e9a05c

82419804 has 36 divisors (see below), whose sum is σ = 208628784. Its totient is φ = 27435072.

The previous prime is 82419803. The next prime is 82419839. The reversal of 82419804 is 40891428.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (82419803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38449 + ... + 40535.

It is an arithmetic number, because the mean of its divisors is an integer number (5795244).

Almost surely, 282419804 is an apocalyptic number.

It is an amenable number.

82419804 is an abundant number, since it is smaller than the sum of its proper divisors (126208980).

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

82419804 is a wasteful number, since it uses less digits than its factorization.

82419804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82419804 is about 9078.5353444264. The cubic root of 82419804 is about 435.1882815540.

The spelling of 82419804 in words is "eighty-two million, four hundred nineteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2087 2194 3291 4174 4388 6261 6582 8348 9873 12522 13164 18783 19746 25044 37566 39492 75132 2289439 4578878 6868317 9157756 13736634 20604951 27473268 41209902 82419804