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528801216 = 26327110163
BaseRepresentation
bin11111100001001…
…101110111000000
31100212000212220020
4133201031313000
52040333114331
6124250013440
716050510336
oct3741156700
91325025806
10528801216
112515491a9
12129117280
138572a538
1450331b56
1531656c96
hex1f84ddc0

528801216 has 56 divisors (see below), whose sum is σ = 1404420864. Its totient is φ = 175599360.

The previous prime is 528801209. The next prime is 528801311. The reversal of 528801216 is 612108825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46951 + ... + 57113.

It is an arithmetic number, because the mean of its divisors is an integer number (25078944).

Almost surely, 2528801216 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 528801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702210432).

528801216 is an abundant number, since it is smaller than the sum of its proper divisors (875619648).

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

528801216 is a wasteful number, since it uses less digits than its factorization.

528801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 528801216 is about 22995.6782026536. The cubic root of 528801216 is about 808.6566240426.

The spelling of 528801216 in words is "five hundred twenty-eight million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 10163 13008 17344 20326 26016 30489 40652 52032 60978 81304 121956 162608 243912 325216 487824 650432 975648 1951296 2754173 5508346 8262519 11016692 16525038 22033384 33050076 44066768 66100152 88133536 132200304 176267072 264400608 528801216