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557133126 = 231123971933
BaseRepresentation
bin100001001101010…
…010110101000110
31102211100021222020
4201031102311012
52120111230001
6131141144010
716543360554
oct4115226506
91384307866
10557133126
1126653a400
121366bb006
138b56a194
1453dc8bd4
1533da1736
hex21352d46

557133126 has 48 divisors (see below), whose sum is σ = 1228492272. Its totient is φ = 168315840.

The previous prime is 557133121. The next prime is 557133127. The reversal of 557133126 is 621331755.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557133121) 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 23 ways as a sum of consecutive naturals, for example, 287256 + ... + 289188.

It is an arithmetic number, because the mean of its divisors is an integer number (25593589).

Almost surely, 2557133126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557133126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614246136).

557133126 is an abundant number, since it is smaller than the sum of its proper divisors (671359146).

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

557133126 is a wasteful number, since it uses less digits than its factorization.

557133126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2346 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 557133126 is about 23603.6676387378. The cubic root of 557133126 is about 822.8480807310.

The spelling of 557133126 in words is "five hundred fifty-seven million, one hundred thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 397 726 794 1191 1933 2382 3866 4367 5799 8734 11598 13101 21263 26202 42526 48037 63789 96074 127578 144111 233893 288222 467786 701679 767401 1403358 1534802 2302203 4604406 8441411 16882822 25324233 50648466 92855521 185711042 278566563 557133126