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8083808 = 252931281
BaseRepresentation
bin11110110101100101100000
3120012200220022
4132311211200
54032140213
6445133012
7125465645
oct36654540
916180808
108083808
114621537
12285a168
1318a0625
141105dcc
15a9a308
hex7b5960

8083808 has 48 divisors (see below), whose sum is σ = 17055360. Its totient is φ = 3763200.

The previous prime is 8083807. The next prime is 8083811.

8083808 is nontrivially palindromic in base 10.

8083808 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 not an unprimeable number, because it can be changed into a prime (8083807) 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, 28628 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 28083808 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 8083808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527680).

8083808 is an abundant number, since it is smaller than the sum of its proper divisors (8971552).

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

8083808 is a wasteful number, since it uses less digits than its factorization.

8083808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 8083808 is about 2843.2038266716. The cubic root of 8083808 is about 200.6959752827.

The spelling of 8083808 in words is "eight million, eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 281 464 496 562 899 928 992 1124 1798 2248 3596 4496 7192 8149 8711 8992 14384 16298 17422 28768 32596 34844 65192 69688 130384 139376 252619 260768 278752 505238 1010476 2020952 4041904 8083808