Base | Representation |
---|---|
bin | 111011001110101… |
… | …000101010110000 |
3 | 2120020210210121212 |
4 | 323032220222300 |
5 | 4013341123321 |
6 | 242334135252 |
7 | 33424150130 |
oct | 7316505260 |
9 | 2506723555 |
10 | 993692336 |
11 | 46aa0583a |
12 | 238951528 |
13 | 12ab3c140 |
14 | 95d88ac0 |
15 | 5c38755b |
hex | 3b3a8ab0 |
993692336 has 160 divisors (see below), whose sum is σ = 2459842560. Its totient is φ = 378473472.
The previous prime is 993692333. The next prime is 993692339. The reversal of 993692336 is 633296399.
993692336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (993692333) and next prime (993692339).
It is not an unprimeable number, because it can be changed into a prime (993692333) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6096191 + ... + 6096353.
It is an arithmetic number, because the mean of its divisors is an integer number (15374016).
Almost surely, 2993692336 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 993692336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229921280).
993692336 is an abundant number, since it is smaller than the sum of its proper divisors (1466150224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
993692336 is a wasteful number, since it uses less digits than its factorization.
993692336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 317 counting only the distinct ones).
The product of its digits is 1417176, while the sum is 50.
The square root of 993692336 is about 31522.8859084951. The cubic root of 993692336 is about 997.8930090404.
The spelling of 993692336 in words is "nine hundred ninety-three million, six hundred ninety-two thousand, three hundred thirty-six".
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