Base | Representation |
---|---|
bin | 10111010110000… |
… | …11001010000000 |
3 | 111122111102102111 |
4 | 23223003022000 |
5 | 400113200441 |
6 | 31233225104 |
7 | 4565365024 |
oct | 1353031200 |
9 | 448442374 |
10 | 195834496 |
11 | a05a83a0 |
12 | 55702194 |
13 | 31759300 |
14 | 1c01a384 |
15 | 122d5081 |
hex | bac3280 |
195834496 has 96 divisors (see below), whose sum is σ = 461423520. Its totient is φ = 82068480.
The previous prime is 195834481. The next prime is 195834547. The reversal of 195834496 is 694438591.
It is a happy number.
It is a super-2 number, since 2×1958344962 = 76702299647148032, which contains 22 as substring.
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, 237541 + ... + 238363.
It is an arithmetic number, because the mean of its divisors is an integer number (4806495).
Almost surely, 2195834496 is an apocalyptic number.
195834496 is a gapful number since it is divisible by the number (16) 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 195834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230711760).
195834496 is an abundant number, since it is smaller than the sum of its proper divisors (265589024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
195834496 is a wasteful number, since it uses less digits than its factorization.
195834496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 874 (or 849 counting only the distinct ones).
The product of its digits is 933120, while the sum is 49.
The square root of 195834496 is about 13994.0878945360. The cubic root of 195834496 is about 580.7150277783.
The spelling of 195834496 in words is "one hundred ninety-five million, eight hundred thirty-four thousand, four hundred ninety-six".
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