Search a number
-
+
557876864 = 278352511
BaseRepresentation
bin100001010000001…
…000011010000000
31102212202002012002
4201100020122000
52120304024424
6131205123132
716552606106
oct4120103200
91385662162
10557876864
112669a8166
121369b94a8
138b76a86c
145413dc76
1533e9bcae
hex21408680

557876864 has 32 divisors (see below), whose sum is σ = 1124807040. Its totient is φ = 275572480.

The previous prime is 557876863. The next prime is 557876881. The reversal of 557876864 is 468678755.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×5578768643 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (557876863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15632 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (35150220).

Almost surely, 2557876864 is an apocalyptic number.

It is an amenable number.

557876864 is an abundant number, since it is smaller than the sum of its proper divisors (566930176).

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

557876864 is an equidigital number, since it uses as much as digits as its factorization.

557876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52608 (or 52596 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The square root of 557876864 is about 23619.4170969565. The cubic root of 557876864 is about 823.2140682237.

The spelling of 557876864 in words is "five hundred fifty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 10624 52511 105022 210044 420088 840176 1680352 3360704 4358413 6721408 8716826 17433652 34867304 69734608 139469216 278938432 557876864