Base | Representation |
---|---|
bin | 10111011010110… |
… | …01110100000000 |
3 | 111200122202220121 |
4 | 23231121310000 |
5 | 400242422314 |
6 | 31254350024 |
7 | 4603545100 |
oct | 1355316400 |
9 | 450582817 |
10 | 196451584 |
11 | a0989a8a |
12 | 5595b314 |
13 | 31914154 |
14 | 1c13b200 |
15 | 123a7d24 |
hex | bb59d00 |
196451584 has 54 divisors (see below), whose sum is σ = 456187074. Its totient is φ = 84188160.
The previous prime is 196451581. The next prime is 196451603. The reversal of 196451584 is 485154691.
It can be written as a sum of positive squares in only one way, i.e., 196000000 + 451584 = 14000^2 + 672^2 .
It is a super-2 number, since 2×1964515842 = 77186449712218112, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 196451584.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (196451581) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 4714 + ... + 20374.
Almost surely, 2196451584 is an apocalyptic number.
196451584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 196451584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228093537).
196451584 is an abundant number, since it is smaller than the sum of its proper divisors (259735490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196451584 is an equidigital number, since it uses as much as digits as its factorization.
196451584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15691 (or 15670 counting only the distinct ones).
The product of its digits is 172800, while the sum is 43.
The square root of 196451584 is about 14016.1187209584. The cubic root of 196451584 is about 581.3243459225.
It can be divided in two parts, 196 and 451584, that multiplied together give a square (88510464 = 94082).
The spelling of 196451584 in words is "one hundred ninety-six million, four hundred fifty-one thousand, five hundred eighty-four".
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