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532882560 = 27357311279
BaseRepresentation
bin11111110000110…
…010010010000000
31101010201020110010
4133300302102000
52042404220220
6124513304520
716130266320
oct3760622200
91333636403
10532882560
11253886611
1212a565140
1386529132
1450ab5280
1531bb11e0
hex1fc32480

532882560 has 256 divisors, whose sum is σ = 2005401600. Its totient is φ = 117780480.

The previous prime is 532882549. The next prime is 532882583. The reversal of 532882560 is 65288235.

532882560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416001 + ... + 417279.

It is an arithmetic number, because the mean of its divisors is an integer number (7833600).

Almost surely, 2532882560 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 532882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002700800).

532882560 is an abundant number, since it is smaller than the sum of its proper divisors (1472519040).

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

532882560 is a wasteful number, since it uses less digits than its factorization.

532882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 532882560 is about 23084.2491755742. The cubic root of 532882560 is about 810.7317271384.

The spelling of 532882560 in words is "five hundred thirty-two million, eight hundred eighty-two thousand, five hundred sixty".