| Base | Representation |
|---|---|
| bin | 10001000011011… |
| … | …110011111000000 |
| 3 | 201221101121022000 |
| 4 | 101003132133000 |
| 5 | 1041221431333 |
| 6 | 44220344000 |
| 7 | 10043004444 |
| oct | 2103363700 |
| 9 | 657347260 |
| 10 | 286123968 |
| 11 | 137567199 |
| 12 | 7b9a5000 |
| 13 | 4737cc30 |
| 14 | 2a000824 |
| 15 | 1a1bc713 |
| hex | 110de7c0 |
286123968 has 224 divisors, whose sum is σ = 928542720. Its totient is φ = 85847040.
The previous prime is 286123963. The next prime is 286123973. The reversal of 286123968 is 869321682.
286123968 is a `hidden beast` number, since 28 + 612 + 3 + 9 + 6 + 8 = 666.
286123968 is digitally balanced in base 3, 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 (286123963) and next prime (286123973).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (286123963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055673 + ... + 1055943.
It is an arithmetic number, because the mean of its divisors is an integer number (4145280).
Almost surely, 2286123968 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 286123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).
286123968 is an abundant number, since it is smaller than the sum of its proper divisors (642418752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
286123968 is a wasteful number, since it uses less digits than its factorization.
286123968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 352 (or 336 counting only the distinct ones).
The product of its digits is 248832, while the sum is 45.
The square root of 286123968 is about 16915.1993189557. The cubic root of 286123968 is about 658.9484080107.
The spelling of 286123968 in words is "two hundred eighty-six million, one hundred twenty-three thousand, nine hundred sixty-eight".
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