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52576 = 253153
BaseRepresentation
bin1100110101100000
32200010021
430311200
53140301
61043224
7306166
oct146540
980107
1052576
1136557
1226514
131ac14
1415236
15108a1
hexcd60

52576 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 24960.

The previous prime is 52571. The next prime is 52579. The reversal of 52576 is 67525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52571) by changing a digit.

52576 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 in 3 ways as a sum of consecutive naturals, for example, 966 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

252576 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 52576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

52576 is an abundant number, since it is smaller than the sum of its proper divisors (56288).

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

52576 is a wasteful number, since it uses less digits than its factorization.

52576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 52576 is about 229.2945703675. The cubic root of 52576 is about 37.4624216149.

It can be divided in two parts, 5 and 2576, that multiplied together give a triangular number (12880 = T160).

The spelling of 52576 in words is "fifty-two thousand, five hundred seventy-six".