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557985750 = 23537234621
BaseRepresentation
bin100001010000100…
…010111111010110
31102212221121112220
4201100202333112
52120321021000
6131211323210
716553541420
oct4120427726
91385847486
10557985750
11266a71a53
12136a50506
138b7a82aa
145416b810
1533ebe1a0
hex21422fd6

557985750 has 128 divisors (see below), whose sum is σ = 1661257728. Its totient is φ = 121968000.

The previous prime is 557985731. The next prime is 557985811. The reversal of 557985750 is 57589755.

It is a super-2 number, since 2×5579857502 = 622696194406125000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 557985693 and 557985702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118440 + ... + 123060.

It is an arithmetic number, because the mean of its divisors is an integer number (12978576).

Almost surely, 2557985750 is an apocalyptic number.

557985750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 557985750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830628864).

557985750 is an abundant number, since it is smaller than the sum of its proper divisors (1103271978).

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

557985750 is a wasteful number, since it uses less digits than its factorization.

557985750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 51.

The square root of 557985750 is about 23621.7219948081. The cubic root of 557985750 is about 823.2676228471.

The spelling of 557985750 in words is "five hundred fifty-seven million, nine hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 125 138 150 161 175 210 230 250 322 345 350 375 483 525 575 690 750 805 875 966 1050 1150 1610 1725 1750 2415 2625 2875 3450 4025 4621 4830 5250 5750 8050 8625 9242 12075 13863 17250 20125 23105 24150 27726 32347 40250 46210 60375 64694 69315 97041 106283 115525 120750 138630 161735 194082 212566 231050 318849 323470 346575 485205 531415 577625 637698 693150 743981 808675 970410 1062830 1155250 1487962 1594245 1617350 1732875 2231943 2426025 2657075 3188490 3465750 3719905 4043375 4463886 4852050 5314150 7439810 7971225 8086750 11159715 12130125 13285375 15942450 18599525 22319430 24260250 26570750 37199050 39856125 55798575 79712250 92997625 111597150 185995250 278992875 557985750