Search a number
-
+
573985764 = 2234116
BaseRepresentation
bin100010001101100…
…101001111100100
31111000001111110000
4202031211033210
52133420021024
6132542301300
720136540612
oct4215451744
91430044400
10573985764
11275000000
12140287830
1391bbab61
14563346b2
15355cecc9
hex223653e4

573985764 has 105 divisors (see below), whose sum is σ = 1650563299. Its totient is φ = 173935080.

The previous prime is 573985757. The next prime is 573985781. The reversal of 573985764 is 467589375.

The square root of 573985764 is 23958.

It is a perfect power (a square), and thus also a powerful number.

573985764 is a `hidden beast` number, since 573 + 9 + 8 + 5 + 7 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6350400) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 573985764.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 52180519 + ... + 52180529.

Almost surely, 2573985764 is an apocalyptic number.

573985764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

573985764 is the 23958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 573985764

573985764 is an abundant number, since it is smaller than the sum of its proper divisors (1076577535).

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

573985764 is an frugal number, since it uses more digits than its factorization.

573985764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 16 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The cubic root of 573985764 is about 831.0625400937.

The spelling of 573985764 in words is "five hundred seventy-three million, nine hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1331 1452 1782 2178 2662 3267 3564 3993 4356 5324 6534 7986 9801 11979 13068 14641 15972 19602 23958 29282 35937 39204 43923 47916 58564 71874 87846 107811 131769 143748 161051 175692 215622 263538 322102 395307 431244 483153 527076 644204 790614 966306 1185921 1449459 1581228 1771561 1932612 2371842 2898918 3543122 4348377 4743684 5314683 5797836 7086244 8696754 10629366 13045131 15944049 17393508 21258732 26090262 31888098 47832147 52180524 63776196 95664294 143496441 191328588 286992882 573985764