| Base | Representation |
|---|---|
| bin | 11110100101010… |
| … | …00001100100000 |
| 3 | 122212201122202000 |
| 4 | 33102220030200 |
| 5 | 1011133311342 |
| 6 | 41242324000 |
| 7 | 6233365215 |
| oct | 1722501440 |
| 9 | 585648660 |
| 10 | 256541472 |
| 11 | 1218a1450 |
| 12 | 71ab9600 |
| 13 | 411c2cb5 |
| 14 | 260ddb0c |
| 15 | 177c744c |
| hex | f4a8320 |
256541472 has 96 divisors (see below), whose sum is σ = 816298560. Its totient is φ = 77736960.
The previous prime is 256541449. The next prime is 256541473. The reversal of 256541472 is 274145652.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between even and odd.
It is not an unprimeable number, because it can be changed into a prime (256541473) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993 + ... + 23000.
It is an arithmetic number, because the mean of its divisors is an integer number (8503110).
Almost surely, 2256541472 is an apocalyptic number.
256541472 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 256541472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408149280).
256541472 is an abundant number, since it is smaller than the sum of its proper divisors (559757088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256541472 is a wasteful number, since it uses less digits than its factorization.
256541472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27023 (or 27009 counting only the distinct ones).
The product of its digits is 67200, while the sum is 36.
The square root of 256541472 is about 16016.9120619425. The cubic root of 256541472 is about 635.4077790825.
The spelling of 256541472 in words is "two hundred fifty-six million, five hundred forty-one thousand, four hundred seventy-two".
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