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575807064 = 233729731619
BaseRepresentation
bin100010010100100…
…001111001011000
31111010111000210120
4202110201321120
52134401311224
6133045313240
720161164540
oct4224417130
91433430716
10575807064
11276034408
12140a05820
13923a7b51
145668a320
153583e779
hex22521e58

575807064 has 128 divisors (see below), whose sum is σ = 1726272000. Its totient is φ = 156570624.

The previous prime is 575807059. The next prime is 575807069. The reversal of 575807064 is 460708575.

It is an interprime number because it is at equal distance from previous prime (575807059) and next prime (575807069).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575807069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354847 + ... + 356465.

It is an arithmetic number, because the mean of its divisors is an integer number (13486500).

Almost surely, 2575807064 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 575807064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863136000).

575807064 is an abundant number, since it is smaller than the sum of its proper divisors (1150464936).

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

575807064 is a wasteful number, since it uses less digits than its factorization.

575807064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 575807064 is about 23995.9801633524. The cubic root of 575807064 is about 831.9406199917.

The spelling of 575807064 in words is "five hundred seventy-five million, eight hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 73 84 87 116 146 168 174 203 219 232 292 348 406 438 511 584 609 696 812 876 1022 1218 1533 1619 1624 1752 2044 2117 2436 3066 3238 4088 4234 4857 4872 6132 6351 6476 8468 9714 11333 12264 12702 12952 14819 16936 19428 22666 25404 29638 33999 38856 44457 45332 46951 50808 59276 67998 88914 90664 93902 118187 118552 135996 140853 177828 187804 236374 271992 281706 328657 354561 355656 375608 472748 563412 657314 709122 827309 945496 985971 1126824 1314628 1418244 1654618 1971942 2481927 2629256 2836488 3309236 3427423 3943884 4963854 6618472 6854846 7887768 9927708 10282269 13709692 19855416 20564538 23991961 27419384 41129076 47983922 71975883 82258152 95967844 143951766 191935688 287903532 575807064