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BaseRepresentation
bin11110110101011101100000
3120012200012100
4132311131200
54032131141
6445130400
7125464314
oct36653540
916180170
108083296
114621111
122859a00
1318a0320
141105b44
15a9a0b6
hex7b5760

8083296 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2322432.

The previous prime is 8083291. The next prime is 8083297. The reversal of 8083296 is 6923808.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8083296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8083291) 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 23 ways as a sum of consecutive naturals, for example, 63585 + ... + 63711.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 28083296 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 8083296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

8083296 is an abundant number, since it is smaller than the sum of its proper divisors (18334368).

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

8083296 is a wasteful number, since it uses less digits than its factorization.

8083296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8083296 is about 2843.1137859748. The cubic root of 8083296 is about 200.6917380673.

The spelling of 8083296 in words is "eight million, eighty-three thousand, two hundred ninety-six".