Base | Representation |
---|---|
bin | 1011101011101… |
… | …10000000100000 |
3 | 20211101222000000 |
4 | 11311312000200 |
5 | 200042012203 |
6 | 13420300000 |
7 | 2266664664 |
oct | 565660040 |
9 | 224358000 |
10 | 98000928 |
11 | 50356603 |
12 | 289a1600 |
13 | 173c391c |
14 | d0308a4 |
15 | 890c4a3 |
hex | 5d76020 |
98000928 has 84 divisors (see below), whose sum is σ = 289345518. Its totient is φ = 32659200.
The previous prime is 98000927. The next prime is 98000939. The reversal of 98000928 is 82900089.
It can be written as a sum of positive squares in only one way, i.e., 96589584 + 1411344 = 9828^2 + 1188^2 .
It is a super-2 number, since 2×980009282 = 19208363777722368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 98000892 and 98000901.
It is not an unprimeable number, because it can be changed into a prime (98000927) by changing a digit.
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 13 ways as a sum of consecutive naturals, for example, 21228 + ... + 25428.
Almost surely, 298000928 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 98000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144672759).
98000928 is an abundant number, since it is smaller than the sum of its proper divisors (191344590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98000928 is an equidigital number, since it uses as much as digits as its factorization.
98000928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4229 (or 4206 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 98000928 is about 9899.5418075788. The cubic root of 98000928 is about 461.0450844682.
The spelling of 98000928 in words is "ninety-eight million, nine hundred twenty-eight", and thus it is an aban number.
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