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8386816 = 281812
BaseRepresentation
bin11111111111100100000000
3120210002112211
4133333210000
54121334231
6455431504
7131200234
oct37774400
916702484
108386816
114809159
122985594
131978519
1411845c4
15b09eb1
hex7ff900

8386816 has 27 divisors (see below), whose sum is σ = 16833873. Its totient is φ = 4170240.

The previous prime is 8386769. The next prime is 8386817. The reversal of 8386816 is 6186838.

The square root of 8386816 is 2896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 8294400 = 304^2 + 2880^2 .

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8386817) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 46246 + ... + 46426.

Almost surely, 28386816 is an apocalyptic number.

8386816 is the 2896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8386816

8386816 is an abundant number, since it is smaller than the sum of its proper divisors (8447057).

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

8386816 is an frugal number, since it uses more digits than its factorization.

8386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 183 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The cubic root of 8386816 is about 203.1728651224.

The spelling of 8386816 in words is "eight million, three hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2896 5792 11584 23168 32761 46336 65522 131044 262088 524176 1048352 2096704 4193408 8386816