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575885016 = 233272931241
BaseRepresentation
bin100010010100110…
…100111011011000
31111010121222201200
4202110310323120
52134411310031
6133051114200
720161641030
oct4224647330
91433558650
10575885016
11276087a33
12140a42960
1392404485
14566aa8c0
15358578e6
hex22534ed8

575885016 has 288 divisors, whose sum is σ = 1951840800. Its totient is φ = 149990400.

The previous prime is 575884993. The next prime is 575885069. The reversal of 575885016 is 610588575.

575885016 is a `hidden beast` number, since 5 + 7 + 588 + 50 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14045956 + ... + 14045996.

It is an arithmetic number, because the mean of its divisors is an integer number (6777225).

Almost surely, 2575885016 is an apocalyptic number.

575885016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575885016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975920400).

575885016 is an abundant number, since it is smaller than the sum of its proper divisors (1375955784).

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

575885016 is a wasteful number, since it uses less digits than its factorization.

575885016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 575885016 is about 23997.6043804376. The cubic root of 575885016 is about 831.9781606385.

The spelling of 575885016 in words is "five hundred seventy-five million, eight hundred eighty-five thousand, sixteen".