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8098328 = 237273283
BaseRepresentation
bin11110111001001000011000
3120020102211002
4132321020120
54033121303
6445324132
7125556200
oct36711030
916212732
108098328
114631437
122866648
1318a7114
14110b400
15a9e788
hex7b9218

8098328 has 48 divisors (see below), whose sum is σ = 17968680. Its totient is φ = 3411072.

The previous prime is 8098291. The next prime is 8098367. The reversal of 8098328 is 8238908.

It is a super-3 number, since 3×80983283 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8098291 and 8098300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28475 + ... + 28757.

Almost surely, 28098328 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 8098328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984340).

8098328 is an abundant number, since it is smaller than the sum of its proper divisors (9870352).

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

8098328 is a wasteful number, since it uses less digits than its factorization.

8098328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 8098328 is about 2845.7561385333. The cubic root of 8098328 is about 200.8160656553.

The spelling of 8098328 in words is "eight million, ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 283 292 392 511 566 584 1022 1132 1981 2044 2264 3577 3962 4088 7154 7924 13867 14308 15848 20659 27734 28616 41318 55468 82636 110936 144613 165272 289226 578452 1012291 1156904 2024582 4049164 8098328