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563376000 = 2735311297
BaseRepresentation
bin100001100101000…
…110111110000000
31110021002110120210
4201211012332000
52123211013000
6131523034120
716650421425
oct4145067600
91407073523
10563376000
1126a013800
1213880b940
138c9448a5
1454b71d4c
15346d6350
hex21946f80

563376000 has 384 divisors, whose sum is σ = 2073970080. Its totient is φ = 135168000.

The previous prime is 563375993. The next prime is 563376013. The reversal of 563376000 is 673365.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5807952 + ... + 5808048.

Almost surely, 2563376000 is an apocalyptic number.

563376000 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 563376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036985040).

563376000 is an abundant number, since it is smaller than the sum of its proper divisors (1510594080).

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

563376000 is a wasteful number, since it uses less digits than its factorization.

563376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 563376000 is about 23735.5429682997. The cubic root of 563376000 is about 825.9101067488.

The spelling of 563376000 in words is "five hundred sixty-three million, three hundred seventy-six thousand".