| Base | Representation |
|---|---|
| bin | 10110111111101… |
| … | …010001110110000 |
| 3 | 222212221000000000 |
| 4 | 112333222032300 |
| 5 | 1242230134200 |
| 6 | 102140430000 |
| 7 | 12363063600 |
| oct | 2677521660 |
| 9 | 885830000 |
| 10 | 385786800 |
| 11 | 188848373 |
| 12 | a9248300 |
| 13 | 61c06119 |
| 14 | 39344c00 |
| 15 | 23d07300 |
| hex | 16fea3b0 |
385786800 has 450 divisors, whose sum is σ = 1617236148. Its totient is φ = 88179840.
The previous prime is 385786799. The next prime is 385786801. The reversal of 385786800 is 8687583.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (385786799) and next prime (385786801).
It is a tau number, because it is divible by the number of its divisors (450).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (385786801) 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 89 ways as a sum of consecutive naturals, for example, 55112397 + ... + 55112403.
Almost surely, 2385786800 is an apocalyptic number.
385786800 is a gapful number since it is divisible by the number (30) 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 385786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808618074).
385786800 is an abundant number, since it is smaller than the sum of its proper divisors (1231449348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
385786800 is an frugal number, since it uses more digits than its factorization.
385786800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
The square root of 385786800 is about 19641.4561578311. The cubic root of 385786800 is about 727.9738649395.
The spelling of 385786800 in words is "three hundred eighty-five million, seven hundred eighty-six thousand, eight hundred".
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