Search a number
-
+
557494080 = 2635111331131
BaseRepresentation
bin100001001110101…
…010111101000000
31102212000122002220
4201032222331000
52120204302310
6131153011040
716546423113
oct4116527500
91385018086
10557494080
11266766610
12136853a80
138b665570
145408057a
1533e23670
hex213aaf40

557494080 has 448 divisors, whose sum is σ = 2162958336. Its totient is φ = 119808000.

The previous prime is 557494061. The next prime is 557494081. The reversal of 557494080 is 80494755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557494081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255615 + ... + 4255745.

It is an arithmetic number, because the mean of its divisors is an integer number (4828032).

Almost surely, 2557494080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081479168).

557494080 is an abundant number, since it is smaller than the sum of its proper divisors (1605464256).

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

557494080 is a wasteful number, since it uses less digits than its factorization.

557494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 557494080 is about 23611.3125429316. The cubic root of 557494080 is about 823.0257439460.

The spelling of 557494080 in words is "five hundred fifty-seven million, four hundred ninety-four thousand, eighty".