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65056 = 2519107
BaseRepresentation
bin1111111000100000
310022020111
433320200
54040211
61221104
7360445
oct177040
9108214
1065056
1144972
1231794
13237c4
14199cc
1514421
hexfe20

65056 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 30528.

The previous prime is 65053. The next prime is 65063.

65056 is nontrivially palindromic in base 10.

65056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

265056 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 65056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

65056 is an abundant number, since it is smaller than the sum of its proper divisors (71024).

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

65056 is a wasteful number, since it uses less digits than its factorization.

65056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 65056 is about 255.0607770709. The cubic root of 65056 is about 40.2188009711.

Adding to 65056 its product of nonzero digits (900), we get a palindrome (65956).

The spelling of 65056 in words is "sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 428 608 856 1712 2033 3424 4066 8132 16264 32528 65056