Base | Representation |
---|---|
bin | 10111011011001… |
… | …00101111100000 |
3 | 111200202001022200 |
4 | 23231210233200 |
5 | 400300340402 |
6 | 31255333200 |
7 | 4604122443 |
oct | 1355445740 |
9 | 450661280 |
10 | 196496352 |
11 | a0a0a688 |
12 | 55981200 |
13 | 3192b640 |
14 | 1c14d65a |
15 | 123b621c |
hex | bb64be0 |
196496352 has 144 divisors (see below), whose sum is σ = 621548928. Its totient is φ = 58475520.
The previous prime is 196496351. The next prime is 196496359. The reversal of 196496352 is 253694691.
196496352 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 9 + 635 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1964963522 = 77221632698615808, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 196496298 and 196496307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (196496351) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115218 + ... + 116910.
It is an arithmetic number, because the mean of its divisors is an integer number (4316312).
Almost surely, 2196496352 is an apocalyptic number.
196496352 is a gapful number since it is divisible by the number (12) 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 196496352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310774464).
196496352 is an abundant number, since it is smaller than the sum of its proper divisors (425052576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196496352 is a wasteful number, since it uses less digits than its factorization.
196496352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).
The product of its digits is 349920, while the sum is 45.
The square root of 196496352 is about 14017.7156484215. The cubic root of 196496352 is about 581.3685005706.
The spelling of 196496352 in words is "one hundred ninety-six million, four hundred ninety-six thousand, three hundred fifty-two".
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