| Base | Representation |
|---|---|
| bin | 11110100110101… |
| … | …11100011010000 |
| 3 | 122220002111211000 |
| 4 | 33103113203100 |
| 5 | 1011211013230 |
| 6 | 41250422000 |
| 7 | 6235133553 |
| oct | 1723274320 |
| 9 | 586074730 |
| 10 | 256735440 |
| 11 | 121a14155 |
| 12 | 71b91900 |
| 13 | 41260380 |
| 14 | 2615069a |
| 15 | 17814b60 |
| hex | f4d78d0 |
256735440 has 320 divisors, whose sum is σ = 979937280. Its totient is φ = 61378560.
The previous prime is 256735421. The next prime is 256735469. The reversal of 256735440 is 44537652.
256735440 is a `hidden beast` number, since 2 + 567 + 3 + 54 + 40 = 666.
256735440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 256735395 and 256735404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151169 + ... + 1151391.
It is an arithmetic number, because the mean of its divisors is an integer number (3062304).
Almost surely, 2256735440 is an apocalyptic number.
256735440 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 256735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).
256735440 is an abundant number, since it is smaller than the sum of its proper divisors (723201840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256735440 is a wasteful number, since it uses less digits than its factorization.
256735440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 287 counting only the distinct ones).
The product of its (nonzero) digits is 100800, while the sum is 36.
The square root of 256735440 is about 16022.9660175637. The cubic root of 256735440 is about 635.5678801971.
It can be divided in two parts, 25673 and 5440, that added together give a palindrome (31113).
The spelling of 256735440 in words is "two hundred fifty-six million, seven hundred thirty-five thousand, four hundred forty".
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