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8084648 = 23111337191
BaseRepresentation
bin11110110101110010101000
3120012202001102
4132311302220
54032202043
6445140532
7125501255
oct36656250
916182042
108084648
114622130
12285a748
1318a0b20
14110642c
15a9a6b8
hex7b5ca8

8084648 has 64 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 3283200.

The previous prime is 8084647. The next prime is 8084663. The reversal of 8084648 is 8464808.

It is not an unprimeable number, because it can be changed into a prime (8084641) 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 15 ways as a sum of consecutive naturals, for example, 42233 + ... + 42423.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 28084648 is an apocalyptic number.

8084648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8084648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

8084648 is an abundant number, since it is smaller than the sum of its proper divisors (10301272).

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

8084648 is a wasteful number, since it uses less digits than its factorization.

8084648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 8084648 is about 2843.3515435134. The cubic root of 8084648 is about 200.7029265768.

The spelling of 8084648 in words is "eight million, eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 143 148 191 286 296 382 407 481 572 764 814 962 1144 1528 1628 1924 2101 2483 3256 3848 4202 4966 5291 7067 8404 9932 10582 14134 16808 19864 21164 27313 28268 42328 54626 56536 77737 91871 109252 155474 183742 218504 310948 367484 621896 734968 1010581 2021162 4042324 8084648