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65528 = 238191
BaseRepresentation
bin1111111111111000
310022212222
433333320
54044103
61223212
7362021
oct177770
9108788
1065528
1145261
1231b08
1323a98
1419c48
1514638
hexfff8

65528 has 8 divisors (see below), whose sum is σ = 122880. Its totient is φ = 32760.

The previous prime is 65521. The next prime is 65537. The reversal of 65528 is 82556.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65497 and 65506.

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 65528.

It is not an unprimeable number, because it can be changed into a prime (65521) by changing a digit.

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 as a sum of consecutive naturals, namely, 4088 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (15360).

65528 is a Friedman number, since it can be written as 2^(6+5+5)-8, using all its digits and the basic arithmetic operations.

265528 is an apocalyptic number.

It is an amenable number.

65528 is a deficient number, since it is larger than the sum of its proper divisors (57352).

65528 is a wasteful number, since it uses less digits than its factorization.

65528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8193 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 65528 is about 255.9843745231. The cubic root of 65528 is about 40.3158330077.

The spelling of 65528 in words is "sixty-five thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 8191 16382 32764 65528