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570000096 = 253237149359
BaseRepresentation
bin100001111110011…
…000001011100000
31110201120000010200
4201332120023200
52131410000341
6132321025200
720060630601
oct4176301340
91421500120
10570000096
11272828566
1213aa85200
1391123983
14559b7da8
1535093db6
hex21f982e0

570000096 has 144 divisors (see below), whose sum is σ = 1680588000. Its totient is φ = 183112704.

The previous prime is 570000077. The next prime is 570000113. The reversal of 570000096 is 690000075.

570000096 is a `hidden beast` number, since 570 + 0 + 0 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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, 1587565 + ... + 1587923.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2570000096 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 570000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840294000).

570000096 is an abundant number, since it is smaller than the sum of its proper divisors (1110587904).

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

570000096 is a wasteful number, since it uses less digits than its factorization.

570000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 570000096 is about 23874.6747831253. The cubic root of 570000096 is about 829.1344807329.

The spelling of 570000096 in words is "five hundred seventy million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 149 222 288 296 298 333 359 444 447 592 596 666 718 888 894 1077 1184 1192 1332 1341 1436 1776 1788 2154 2384 2664 2682 2872 3231 3552 3576 4308 4768 5328 5364 5513 5744 6462 7152 8616 10656 10728 11026 11488 12924 13283 14304 16539 17232 21456 22052 25848 26566 33078 34464 39849 42912 44104 49617 51696 53132 53491 66156 79698 88208 99234 103392 106264 106982 119547 132312 159396 160473 176416 198468 212528 213964 239094 264624 318792 320946 396936 425056 427928 478188 481419 529248 637584 641892 793872 855856 956376 962838 1275168 1283784 1587744 1711712 1912752 1925676 1979167 2567568 3825504 3851352 3958334 5135136 5937501 7702704 7916668 11875002 15405408 15833336 17812503 23750004 31666672 35625006 47500008 63333344 71250012 95000016 142500024 190000032 285000048 570000096