Search a number
-
+
263757056 = 281013
BaseRepresentation
bin11111011100010…
…01110100000000
3200101022020122212
433232021310000
51020010211211
642101121252
76351620003
oct1756116400
9611266585
10263757056
1112597a642
12743b9228
134284b384
142705b53a
151825038b
hexfb89d00

263757056 has 36 divisors (see below), whose sum is σ = 531748644. Its totient is φ = 130572800.

The previous prime is 263757049. The next prime is 263757061. The reversal of 263757056 is 650757362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 240870400 + 22886656 = 15520^2 + 4784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2611406 + ... + 2611506.

Almost surely, 2263757056 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 263757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265874322).

263757056 is an abundant number, since it is smaller than the sum of its proper divisors (267991588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263757056 is an frugal number, since it uses more digits than its factorization.

263757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The square root of 263757056 is about 16240.5990037314. The cubic root of 263757056 is about 641.3100249952.

The spelling of 263757056 in words is "two hundred sixty-three million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 10201 12928 20402 25856 40804 81608 163216 326432 652864 1030301 1305728 2060602 2611456 4121204 8242408 16484816 32969632 65939264 131878528 263757056