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557587056 = 243137911311
BaseRepresentation
bin100001001111000…
…001101001110000
31102212012100122110
4201033001221300
52120220241211
6131155005320
716550261145
oct4117015160
91385170573
10557587056
1126681a454
12136899840
138b698990
14540a63cc
1533e40ea6
hex213c1a70

557587056 has 80 divisors (see below), whose sum is σ = 1571010560. Its totient is φ = 169378560.

The previous prime is 557587007. The next prime is 557587073. The reversal of 557587056 is 650785755.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 557586996 and 557587014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43641 + ... + 54951.

It is an arithmetic number, because the mean of its divisors is an integer number (19637632).

Almost surely, 2557587056 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 557587056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785505280).

557587056 is an abundant number, since it is smaller than the sum of its proper divisors (1013423504).

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

557587056 is a wasteful number, since it uses less digits than its factorization.

557587056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

The square root of 557587056 is about 23613.2813475806. The cubic root of 557587056 is about 823.0714947386.

The spelling of 557587056 in words is "five hundred fifty-seven million, five hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1264 1896 2054 3081 3792 4108 6162 8216 11311 12324 16432 22622 24648 33933 45244 49296 67866 90488 135732 147043 180976 271464 294086 441129 542928 588172 882258 893569 1176344 1764516 1787138 2352688 2680707 3529032 3574276 5361414 7058064 7148552 10722828 11616397 14297104 21445656 23232794 34849191 42891312 46465588 69698382 92931176 139396764 185862352 278793528 557587056