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8082204 = 22313103503
BaseRepresentation
bin11110110101001100011100
3120012121200220
4132311030130
54032112304
6445121340
7125461164
oct36651434
916177626
108082204
114620309
122859250
13189c990
1411055a4
15a99ad9
hex7b531c

8082204 has 48 divisors (see below), whose sum is σ = 20547072. Its totient is φ = 2457792.

The previous prime is 8082199. The next prime is 8082211. The reversal of 8082204 is 4022808.

8082204 = T137 + T138 + ... + T370.

8082204 is nontrivially palindromic in base 5.

8082204 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15817 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 28082204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273536).

8082204 is an abundant number, since it is smaller than the sum of its proper divisors (12464868).

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

8082204 is a wasteful number, since it uses less digits than its factorization.

8082204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8082204 is about 2842.9217365239. The cubic root of 8082204 is about 200.6827002833.

The spelling of 8082204 in words is "eight million, eighty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 503 618 1006 1236 1339 1509 2012 2678 3018 4017 5356 6036 6539 8034 13078 16068 19617 26156 39234 51809 78468 103618 155427 207236 310854 621708 673517 1347034 2020551 2694068 4041102 8082204