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564475392 = 293513349
BaseRepresentation
bin100001101001010…
…011011000000000
31110100011022200000
4201221103120000
52124001203032
6132002400000
716662650565
oct4151233000
91410138600
10564475392
1126a6a4798
12139060000
138cc3b110
1454d7a86c
1534851e7c
hex21a53600

564475392 has 240 divisors, whose sum is σ = 1824622800. Its totient is φ = 173187072.

The previous prime is 564475391. The next prime is 564475403. The reversal of 564475392 is 293574465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564475391) 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, 1617234 + ... + 1617582.

It is an arithmetic number, because the mean of its divisors is an integer number (7602595).

Almost surely, 2564475392 is an apocalyptic number.

564475392 is a gapful number since it is divisible by the number (52) 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 564475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912311400).

564475392 is an abundant number, since it is smaller than the sum of its proper divisors (1260147408).

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

564475392 is an equidigital number, since it uses as much as digits as its factorization.

564475392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 564475392 is about 23758.6908730258. The cubic root of 564475392 is about 826.4469944696.

The spelling of 564475392 in words is "five hundred sixty-four million, four hundred seventy-five thousand, three hundred ninety-two".