Base | Representation |
---|---|
bin | 1001010011000… |
… | …11101111111110 |
3 | 12102202222021100 |
4 | 10221203233332 |
5 | 124432100243 |
6 | 11423513530 |
7 | 1635005400 |
oct | 451435776 |
9 | 172688240 |
10 | 78003198 |
11 | 40037a59 |
12 | 221588a6 |
13 | 13211550 |
14 | a506b70 |
15 | 6cac0d3 |
hex | 4a63bfe |
78003198 has 72 divisors (see below), whose sum is σ = 211754088. Its totient is φ = 20569248.
The previous prime is 78003193. The next prime is 78003199. The reversal of 78003198 is 89130087.
78003198 is a modest number, since divided by 3198 gives 780 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (78003193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8065 + ... + 14867.
It is an arithmetic number, because the mean of its divisors is an integer number (2941029).
Almost surely, 278003198 is an apocalyptic number.
78003198 is a gapful number since it is divisible by the number (78) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 78003198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105877044).
78003198 is an abundant number, since it is smaller than the sum of its proper divisors (133750890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78003198 is a wasteful number, since it uses less digits than its factorization.
78003198 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6838 (or 6828 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 78003198 is about 8831.9419155699. The cubic root of 78003198 is about 427.2717073902.
The spelling of 78003198 in words is "seventy-eight million, three thousand, one hundred ninety-eight".
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