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8097128 = 2313253113
BaseRepresentation
bin11110111000110101101000
3120020101011122
4132320311220
54033102003
6445314412
7125552534
oct36706550
916211148
108097128
114630546
122865a08
1318a6700
14110abc4
15a9e238
hex7b8d68

8097128 has 48 divisors (see below), whose sum is σ = 16898220. Its totient is φ = 3634176.

The previous prime is 8097091. The next prime is 8097137. The reversal of 8097128 is 8217908.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 268324 + 7828804 = 518^2 + 2798^2 .

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 11 ways as a sum of consecutive naturals, for example, 71600 + ... + 71712.

Almost surely, 28097128 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 8097128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449110).

8097128 is an abundant number, since it is smaller than the sum of its proper divisors (8801092).

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

8097128 is a wasteful number, since it uses less digits than its factorization.

8097128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 8097128 is about 2845.5452904496. The cubic root of 8097128 is about 200.8061462752.

The spelling of 8097128 in words is "eight million, ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 113 169 212 226 338 424 452 676 689 904 1352 1378 1469 2756 2938 5512 5876 5989 8957 11752 11978 17914 19097 23956 35828 38194 47912 71656 76388 77857 152776 155714 311428 622856 1012141 2024282 4048564 8097128