| Base | Representation |
|---|---|
| bin | 1111111100111100… |
| … | …0011001010100000 |
| 3 | 102001102121000012000 |
| 4 | 3333033003022200 |
| 5 | 32232211311300 |
| 6 | 1544525004000 |
| 7 | 211054356120 |
| oct | 37717031240 |
| 9 | 12042530160 |
| 10 | 4282135200 |
| 11 | 18a8176612 |
| 12 | 9b60b3600 |
| 13 | 533205c15 |
| 14 | 2c89d6c80 |
| 15 | 1a0e05c00 |
| hex | ff3c32a0 |
4282135200 has 576 divisors, whose sum is σ = 17918853120. Its totient is φ = 966712320.
The previous prime is 4282135199. The next prime is 4282135201. The reversal of 4282135200 is 25312824.
4282135200 is a `hidden beast` number, since 428 + 2 + 1 + 35 + 200 = 666.
It is an interprime number because it is at equal distance from previous prime (4282135199) and next prime (4282135201).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (4282135201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19202289 + ... + 19202511.
It is an arithmetic number, because the mean of its divisors is an integer number (31109120).
Almost surely, 24282135200 is an apocalyptic number.
4282135200 is a gapful number since it is divisible by the number (40) 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 4282135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959426560).
4282135200 is an abundant number, since it is smaller than the sum of its proper divisors (13636717920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4282135200 is a wasteful number, since it uses less digits than its factorization.
4282135200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 367 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 4282135200 is about 65438.0256425880. The cubic root of 4282135200 is about 1623.8782253971.
The spelling of 4282135200 in words is "four billion, two hundred eighty-two million, one hundred thirty-five thousand, two hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.075 sec. • engine limits •