Base | Representation |
---|---|
bin | 10111011101010… |
… | …01010110000000 |
3 | 111201021022202210 |
4 | 23232221112000 |
5 | 400333333334 |
6 | 31305342120 |
7 | 4606402611 |
oct | 1356512600 |
9 | 451238683 |
10 | 196777344 |
11 | a1091805 |
12 | 55a97940 |
13 | 319c94ca |
14 | 1c1c3c08 |
15 | 1241e5e9 |
hex | bba9580 |
196777344 has 64 divisors (see below), whose sum is σ = 533859840. Its totient is φ = 64190976.
The previous prime is 196777337. The next prime is 196777381. The reversal of 196777344 is 443777691.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×1967773443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 196777293 and 196777302.
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 7 ways as a sum of consecutive naturals, for example, 12597 + ... + 23499.
It is an arithmetic number, because the mean of its divisors is an integer number (8341560).
Almost surely, 2196777344 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 196777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266929920).
196777344 is an abundant number, since it is smaller than the sum of its proper divisors (337082496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196777344 is a wasteful number, since it uses less digits than its factorization.
196777344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10967 (or 10955 counting only the distinct ones).
The product of its digits is 889056, while the sum is 48.
The square root of 196777344 is about 14027.7348135756. The cubic root of 196777344 is about 581.6454897514.
The spelling of 196777344 in words is "one hundred ninety-six million, seven hundred seventy-seven thousand, three hundred forty-four".
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