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249056 = 2543181
BaseRepresentation
bin111100110011100000
3110122122022
4330303200
530432211
65201012
72055053
oct746340
9418568
10249056
11160135
12100168
1389492
1466a9a
154dbdb
hex3cce0

249056 has 24 divisors (see below), whose sum is σ = 504504. Its totient is φ = 120960.

The previous prime is 249037. The next prime is 249059. The reversal of 249056 is 650942.

249056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2490562 = 124057782272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249059) by changing a digit.

249056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1286 + ... + 1466.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2249056 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 249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252252).

249056 is an abundant number, since it is smaller than the sum of its proper divisors (255448).

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

249056 is a wasteful number, since it uses less digits than its factorization.

249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 249056 is about 499.0551071776. The cubic root of 249056 is about 62.9166614525.

Adding to 249056 its reverse (650942), we get a palindrome (899998).

The spelling of 249056 in words is "two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 43 86 172 181 344 362 688 724 1376 1448 2896 5792 7783 15566 31132 62264 124528 249056