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52672 = 26823
BaseRepresentation
bin1100110111000000
32200020211
430313000
53141142
61043504
7306364
oct146700
980224
1052672
1136634
1226594
131ac89
14152a4
1510917
hexcdc0

52672 has 14 divisors (see below), whose sum is σ = 104648. Its totient is φ = 26304.

The previous prime is 52667. The next prime is 52673. The reversal of 52672 is 27625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52673) by changing a digit.

52672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 348 + ... + 475.

252672 is an apocalyptic number.

It is an amenable number.

52672 is a deficient number, since it is larger than the sum of its proper divisors (51976).

52672 is an equidigital number, since it uses as much as digits as its factorization.

52672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 825 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 52672 is about 229.5038126045. The cubic root of 52672 is about 37.4852089816.

Subtracting from 52672 its sum of digits (22), we obtain a triangular number (52650 = T324).

The spelling of 52672 in words is "fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 823 1646 3292 6584 13168 26336 52672