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557320000 = 265413933
BaseRepresentation
bin100001001110000…
…000011101000000
31102211200210022111
4201032000131000
52120133220000
6131145145104
716545066436
oct4116003500
91384623274
10557320000
11266657846
1213678b194
138b604263
1454036d56
1533ddbcba
hex21380740

557320000 has 70 divisors (see below), whose sum is σ = 1382071658. Its totient is φ = 222912000.

The previous prime is 557319949. The next prime is 557320007. The reversal of 557320000 is 23755.

It can be written as a sum of positive squares in 5 ways, for example, as 51609856 + 505710144 = 7184^2 + 22488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557320007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33034 + ... + 46966.

Almost surely, 2557320000 is an apocalyptic number.

557320000 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 557320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691035829).

557320000 is an abundant number, since it is smaller than the sum of its proper divisors (824751658).

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

557320000 is an equidigital number, since it uses as much as digits as its factorization.

557320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 557320000 is about 23607.6258865647. The cubic root of 557320000 is about 822.9400705480.

Adding to 557320000 its reverse (23755), we get a palindrome (557343755).

The spelling of 557320000 in words is "five hundred fifty-seven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 13933 20000 27866 40000 55732 69665 111464 139330 222928 278660 348325 445856 557320 696650 891712 1114640 1393300 1741625 2229280 2786600 3483250 4458560 5573200 6966500 8708125 11146400 13933000 17416250 22292800 27866000 34832500 55732000 69665000 111464000 139330000 278660000 557320000