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575020800 = 28325267149
BaseRepresentation
bin100010010001100…
…001111100000000
31111002000002020200
4202101201330000
52134201131200
6133020405200
720151411324
oct4221417400
91432002220
10575020800
11275647702
121406a6800
1392190cc3
1456523984
1535736800
hex22461f00

575020800 has 324 divisors, whose sum is σ = 2100516600. Its totient is φ = 150036480.

The previous prime is 575020799. The next prime is 575020837. The reversal of 575020800 is 8020575.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3859126 + ... + 3859274.

Almost surely, 2575020800 is an apocalyptic number.

575020800 is a gapful number since it is divisible by the number (50) 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 575020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050258300).

575020800 is an abundant number, since it is smaller than the sum of its proper divisors (1525495800).

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

575020800 is a wasteful number, since it uses less digits than its factorization.

575020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 575020800 is about 23979.5913226227. The cubic root of 575020800 is about 831.5617761264.

The spelling of 575020800 in words is "five hundred seventy-five million, twenty thousand, eight hundred".