Base | Representation |
---|---|
bin | 11111010111000… |
… | …00001010000000 |
3 | 200022222221102101 |
4 | 33223200022000 |
5 | 1014320442034 |
6 | 42034200144 |
7 | 6342664012 |
oct | 1753401200 |
9 | 608887371 |
10 | 263062144 |
11 | 125545534 |
12 | 74123054 |
13 | 42666c97 |
14 | 26d1a1b2 |
15 | 18164514 |
hex | fae0280 |
263062144 has 48 divisors (see below), whose sum is σ = 553200570. Its totient is φ = 124586496.
The previous prime is 263062127. The next prime is 263062153. The reversal of 263062144 is 441260362.
It can be written as a sum of positive squares in only one way, i.e., 254721600 + 8340544 = 15960^2 + 2888^2 .
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 43362 + ... + 49054.
Almost surely, 2263062144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 263062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276600285).
263062144 is an abundant number, since it is smaller than the sum of its proper divisors (290138426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263062144 is an equidigital number, since it uses as much as digits as its factorization.
263062144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5745 (or 5714 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 263062144 is about 16219.1906086586. The cubic root of 263062144 is about 640.7463168666.
The spelling of 263062144 in words is "two hundred sixty-three million, sixty-two thousand, one hundred forty-four".
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