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52558632 = 2334711587
BaseRepresentation
bin1100100001111…
…1101100101000
310122220020220000
43020133230220
5101423334012
65114303000
71205512110
oct310375450
9118806800
1052558632
1127739095
1215727a60
13ab72ba9
146da2040
154932ddc
hex321fb28

52558632 has 80 divisors (see below), whose sum is σ = 168257760. Its totient is φ = 15015456.

The previous prime is 52558631. The next prime is 52558651. The reversal of 52558632 is 23685525.

It is a happy number.

52558632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×525586322 = 5524819595422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52558631) 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 in 19 ways as a sum of consecutive naturals, for example, 1258 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (2103222).

Almost surely, 252558632 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 52558632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84128880).

52558632 is an abundant number, since it is smaller than the sum of its proper divisors (115699128).

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

52558632 is a wasteful number, since it uses less digits than its factorization.

52558632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11599 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52558632 is about 7249.7332364715. The cubic root of 52558632 is about 374.5829603798.

The spelling of 52558632 in words is "fifty-two million, five hundred fifty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11587 23174 34761 46348 69522 81109 92696 104283 139044 162218 208566 243327 278088 312849 324436 417132 486654 625698 648872 729981 834264 938547 973308 1251396 1459962 1877094 1946616 2189943 2502792 2919924 3754188 4379886 5839848 6569829 7508376 8759772 13139658 17519544 26279316 52558632