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52528 = 247267
BaseRepresentation
bin1100110100110000
32200001111
430310300
53140103
61043104
7306100
oct146460
980044
1052528
1136513
1226494
131aba8
1415200
151086d
hexcd30

52528 has 30 divisors (see below), whose sum is σ = 120156. Its totient is φ = 22176.

The previous prime is 52517. The next prime is 52529. The reversal of 52528 is 82525.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 52499 and 52508.

It is not an unprimeable number, because it can be changed into a prime (52529) 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 5 ways as a sum of consecutive naturals, for example, 751 + ... + 817.

252528 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 52528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60078).

52528 is an abundant number, since it is smaller than the sum of its proper divisors (67628).

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

52528 is a wasteful number, since it uses less digits than its factorization.

52528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 52528 is about 229.1898776124. The cubic root of 52528 is about 37.4510175285.

The spelling of 52528 in words is "fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1876 3283 3752 6566 7504 13132 26264 52528