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52580328 = 2335971523
BaseRepresentation
bin1100100010010…
…0111111101000
310122221100122120
43020210333220
5101430032303
65114551240
71205632263
oct310447750
9118840576
1052580328
1127753419
1215738520
13ab7ca28
146da9cda
154939553
hex3224fe8

52580328 has 64 divisors (see below), whose sum is σ = 135820800. Its totient is φ = 16954560.

The previous prime is 52580317. The next prime is 52580351. The reversal of 52580328 is 82308525.

52580328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100275 + ... + 100797.

It is an arithmetic number, because the mean of its divisors is an integer number (2122200).

Almost surely, 252580328 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 52580328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67910400).

52580328 is an abundant number, since it is smaller than the sum of its proper divisors (83240472).

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

52580328 is a wasteful number, since it uses less digits than its factorization.

52580328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 52580328 is about 7251.2294130030. The cubic root of 52580328 is about 374.6344954217.

The spelling of 52580328 in words is "fifty-two million, five hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 71 118 142 177 213 236 284 354 426 472 523 568 708 852 1046 1416 1569 1704 2092 3138 4184 4189 6276 8378 12552 12567 16756 25134 30857 33512 37133 50268 61714 74266 92571 100536 111399 123428 148532 185142 222798 246856 297064 370284 445596 740568 891192 2190847 4381694 6572541 8763388 13145082 17526776 26290164 52580328