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557189552 = 24174194889
BaseRepresentation
bin100001001101100…
…000100110110000
31102211110011101002
4201031200212300
52120120031202
6131142301132
716544014223
oct4115404660
91384404332
10557189552
11266578837
121367277a8
138b589a7a
14540015ba
1533db3302
hex213609b0

557189552 has 40 divisors (see below), whose sum is σ = 1146020400. Its totient is φ = 261527552.

The previous prime is 557189551. The next prime is 557189597. The reversal of 557189552 is 255981755.

It is a junction number, because it is equal to n+sod(n) for n = 557189497 and 557189506.

It is not an unprimeable number, because it can be changed into a prime (557189551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111524 + ... + 116412.

It is an arithmetic number, because the mean of its divisors is an integer number (28650510).

Almost surely, 2557189552 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 557189552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573010200).

557189552 is an abundant number, since it is smaller than the sum of its proper divisors (588830848).

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

557189552 is a wasteful number, since it uses less digits than its factorization.

557189552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5327 counting only the distinct ones).

The product of its digits is 630000, while the sum is 47.

The square root of 557189552 is about 23604.8628888202. The cubic root of 557189552 is about 822.8758589263.

The spelling of 557189552 in words is "five hundred fifty-seven million, one hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 419 838 1676 3352 4889 6704 7123 9778 14246 19556 28492 39112 56984 78224 83113 113968 166226 332452 664904 1329808 2048491 4096982 8193964 16387928 32775856 34824347 69648694 139297388 278594776 557189552