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557264544 = 25336715817
BaseRepresentation
bin100001001101110…
…010111010100000
31102211120222020120
4201031302322200
52120124431134
6131144040240
716544445654
oct4115627240
91384528216
10557264544
1126661a111
12136763080
138b5b4c45
1454020a64
1533dca649
hex21372ea0

557264544 has 48 divisors (see below), whose sum is σ = 1466898048. Its totient is φ = 185236992.

The previous prime is 557264489. The next prime is 557264549. The reversal of 557264544 is 445462755.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 557264496 and 557264505.

It is not an unprimeable number, because it can be changed into a prime (557264549) 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 7 ways as a sum of consecutive naturals, for example, 27324 + ... + 43140.

It is an arithmetic number, because the mean of its divisors is an integer number (30560376).

Almost surely, 2557264544 is an apocalyptic number.

It is an amenable number.

557264544 is an abundant number, since it is smaller than the sum of its proper divisors (909633504).

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

557264544 is a wasteful number, since it uses less digits than its factorization.

557264544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16189 counting only the distinct ones).

The product of its digits is 672000, while the sum is 42.

The square root of 557264544 is about 23606.4513216197. The cubic root of 557264544 is about 822.9127741544.

The spelling of 557264544 in words is "five hundred fifty-seven million, two hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2936 4404 5872 8808 11744 15817 17616 31634 35232 47451 63268 94902 126536 189804 253072 379608 506144 759216 1518432 5804839 11609678 17414517 23219356 34829034 46438712 69658068 92877424 139316136 185754848 278632272 557264544