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65792 = 28257
BaseRepresentation
bin10000000100000000
310100020202
4100010000
54101132
61224332
7362546
oct200400
9110222
1065792
1145481
12320a8
1323c3c
1419d96
1514762
hex10100

65792 has 18 divisors (see below), whose sum is σ = 131838. Its totient is φ = 32768.

The previous prime is 65789. The next prime is 65809. The reversal of 65792 is 29756.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 256 = 256^2 + 16^2 .

It is a Leyland number of the form 162 + 216.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 65792 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128 + ... + 384.

265792 is an apocalyptic number.

It is a pronic number, being equal to 256×257.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65919).

65792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

65792 is an equidigital number, since it uses as much as digits as its factorization.

65792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 65792 is about 256.4995126701. The cubic root of 65792 is about 40.3699020999.

The spelling of 65792 in words is "sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 514 1028 2056 4112 8224 16448 32896 65792