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533085696 = 29321113809
BaseRepresentation
bin11111110001100…
…011111000000000
31101011002120002200
4133301203320000
52042432220241
6124521513200
716132103463
oct3761437000
91334076080
10533085696
11253a051a0
1212a642800
138659a730
1450b292da
1531c014b6
hex1fc63e00

533085696 has 240 divisors, whose sum is σ = 1809727920. Its totient is φ = 148930560.

The previous prime is 533085691. The next prime is 533085799. The reversal of 533085696 is 696580335.

533085696 is a `hidden beast` number, since 53 + 30 + 8 + 569 + 6 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533085691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658540 + ... + 659348.

It is an arithmetic number, because the mean of its divisors is an integer number (7540533).

Almost surely, 2533085696 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 533085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904863960).

533085696 is an abundant number, since it is smaller than the sum of its proper divisors (1276642224).

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

533085696 is a wasteful number, since it uses less digits than its factorization.

533085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 533085696 is about 23088.6486395371. The cubic root of 533085696 is about 810.8347316215.

The spelling of 533085696 in words is "five hundred thirty-three million, eighty-five thousand, six hundred ninety-six".