Search a number
-
+
82387104 = 2532337313
BaseRepresentation
bin1001110100100…
…10000010100000
312202000200212020
410322102002200
5132042341404
612101501440
72020164432
oct472220240
9182020766
1082387104
1142561718
1223711880
13140b7a87
14ad28652
157375ed9
hex4e920a0

82387104 has 48 divisors (see below), whose sum is σ = 225675072. Its totient is φ = 26267648.

The previous prime is 82387103. The next prime is 82387133. The reversal of 82387104 is 40178328.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82387103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16449 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (4701564).

Almost surely, 282387104 is an apocalyptic number.

It is an amenable number.

82387104 is an abundant number, since it is smaller than the sum of its proper divisors (143287968).

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

82387104 is a wasteful number, since it uses less digits than its factorization.

82387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37349 (or 37341 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82387104 is about 9076.7342144628. The cubic root of 82387104 is about 435.1307203914.

The spelling of 82387104 in words is "eighty-two million, three hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 37313 74626 111939 149252 223878 298504 447756 597008 858199 895512 1194016 1716398 1791024 2574597 3432796 3582048 5149194 6865592 10298388 13731184 20596776 27462368 41193552 82387104