| Base | Representation |
|---|---|
| bin | 11110100111111… |
| … | …11001101010000 |
| 3 | 122220101202122000 |
| 4 | 33103333031100 |
| 5 | 1011231212442 |
| 6 | 41254114000 |
| 7 | 6236411250 |
| oct | 1723771520 |
| 9 | 586352560 |
| 10 | 256897872 |
| 11 | 1220151a0 |
| 12 | 7204b900 |
| 13 | 412b929a |
| 14 | 26193960 |
| 15 | 17847d4c |
| hex | f4ff350 |
256897872 has 160 divisors (see below), whose sum is σ = 919464960. Its totient is φ = 66718080.
The previous prime is 256897871. The next prime is 256897873. The reversal of 256897872 is 278798652.
It is a happy number.
256897872 is a `hidden beast` number, since 2 + 568 + 9 + 7 + 8 + 72 = 666.
It is an interprime number because it is at equal distance from previous prime (256897871) and next prime (256897873).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (256897871) 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 31 ways as a sum of consecutive naturals, for example, 29403 + ... + 37125.
It is an arithmetic number, because the mean of its divisors is an integer number (5746656).
Almost surely, 2256897872 is an apocalyptic number.
256897872 is a gapful number since it is divisible by the number (22) 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 256897872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459732480).
256897872 is an abundant number, since it is smaller than the sum of its proper divisors (662567088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256897872 is a wasteful number, since it uses less digits than its factorization.
256897872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7758 (or 7746 counting only the distinct ones).
The product of its digits is 3386880, while the sum is 54.
The square root of 256897872 is about 16028.0339405680. The cubic root of 256897872 is about 635.7018894812.
The spelling of 256897872 in words is "two hundred fifty-six million, eight hundred ninety-seven thousand, eight hundred seventy-two".
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