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63528 = 2332647
BaseRepresentation
bin1111100000101000
310020010220
433200220
54013103
61210040
7353133
oct174050
9106126
1063528
1143803
1230920
1322bba
141921a
1513c53
hexf828

63528 has 16 divisors (see below), whose sum is σ = 158880. Its totient is φ = 21168.

The previous prime is 63527. The next prime is 63533. The reversal of 63528 is 82536.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2647 = 63528 / (6 + 3 + 5 + 2 + 8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 63498 and 63507.

It is not an unprimeable number, because it can be changed into a prime (63521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (9930).

263528 is an apocalyptic number.

It is an amenable number.

63528 is an abundant number, since it is smaller than the sum of its proper divisors (95352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79440).

63528 is a wasteful number, since it uses less digits than its factorization.

63528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2652 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 63528 is about 252.0476145493. The cubic root of 63528 is about 39.9014239352.

Subtracting from 63528 its sum of digits (24), we obtain a square (63504 = 2522).

The spelling of 63528 in words is "sixty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 2647 5294 7941 10588 15882 21176 31764 63528