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557227648 = 2713931319
BaseRepresentation
bin100001001101101…
…001111010000000
31102211112002122001
4201031221322000
52120122241043
6131143153344
716544233255
oct4115517200
91384462561
10557227648
112665a441a
12136745854
138b5a1203
145401142c
1533dbe74d
hex21369e80

557227648 has 32 divisors (see below), whose sum is σ = 1118124000. Its totient is φ = 276600576.

The previous prime is 557227639. The next prime is 557227673. The reversal of 557227648 is 846722755.

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

It is a super-2 number, since 2×5572276482 = 621005303391223808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557227598 and 557227607.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2133 + ... + 33451.

It is an arithmetic number, because the mean of its divisors is an integer number (34941375).

Almost surely, 2557227648 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 557227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559062000).

557227648 is an abundant number, since it is smaller than the sum of its proper divisors (560896352).

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

557227648 is a wasteful number, since it uses less digits than its factorization.

557227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31472 (or 31460 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The square root of 557227648 is about 23605.6698273953. The cubic root of 557227648 is about 822.8946123076.

The spelling of 557227648 in words is "five hundred fifty-seven million, two hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 17792 31319 62638 125276 250552 501104 1002208 2004416 4008832 4353341 8706682 17413364 34826728 69653456 139306912 278613824 557227648