| Base | Representation |
|---|---|
| bin | 11110011111000… |
| … | …01111111000000 |
| 3 | 122211012102001200 |
| 4 | 33033201333000 |
| 5 | 1010431321400 |
| 6 | 41213101200 |
| 7 | 6223444230 |
| oct | 1717417700 |
| 9 | 584172050 |
| 10 | 255729600 |
| 11 | 121397485 |
| 12 | 71787800 |
| 13 | 40c9a5b9 |
| 14 | 25d6bcc0 |
| 15 | 176b6b00 |
| hex | f3e1fc0 |
255729600 has 504 divisors, whose sum is σ = 1080942720. Its totient is φ = 56125440.
The previous prime is 255729599. The next prime is 255729601. The reversal of 255729600 is 6927552.
255729600 is a `hidden beast` number, since 25 + 5 + 7 + 29 + 600 = 666.
255729600 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 (255729599) and next prime (255729601).
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (255729601) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4334371 + ... + 4334429.
Almost surely, 2255729600 is an apocalyptic number.
255729600 is a gapful number since it is divisible by the number (20) 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 255729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540471360).
255729600 is an abundant number, since it is smaller than the sum of its proper divisors (825213120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
255729600 is a wasteful number, since it uses less digits than its factorization.
255729600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 137 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The square root of 255729600 is about 15991.5477674927. The cubic root of 255729600 is about 634.7367830482.
The spelling of 255729600 in words is "two hundred fifty-five million, seven hundred twenty-nine thousand, six hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.075 sec. • engine limits •