Base | Representation |
---|---|
bin | 10000000000011001100000 |
3 | 21220011202001 |
4 | 100000121200 |
5 | 2033232221 |
6 | 225533344 |
7 | 50444023 |
oct | 20003140 |
9 | 7804661 |
10 | 4195936 |
11 | 2406518 |
12 | 14a4254 |
13 | b3bb04 |
14 | 7b31ba |
15 | 57d391 |
hex | 400660 |
4195936 has 24 divisors (see below), whose sum is σ = 8621424. Its totient is φ = 2006400.
The previous prime is 4195921. The next prime is 4195937. The reversal of 4195936 is 6395914.
It is a zygodrome in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 4195895 and 4195904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4195937) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2115 + ... + 3586.
It is an arithmetic number, because the mean of its divisors is an integer number (359226).
Almost surely, 24195936 is an apocalyptic number.
4195936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.
It is an amenable number.
4195936 is an abundant number, since it is smaller than the sum of its proper divisors (4425488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4195936 is a wasteful number, since it uses less digits than its factorization.
4195936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5734 (or 5726 counting only the distinct ones).
The product of its digits is 29160, while the sum is 37.
The square root of 4195936 is about 2048.3983987496. The cubic root of 4195936 is about 161.2908083323.
The spelling of 4195936 in words is "four million, one hundred ninety-five thousand, nine hundred thirty-six".
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