Search a number
-
+
575130504 = 2331343163263
BaseRepresentation
bin100010010001111…
…100101110001000
31111002012122201210
4202101330232020
52134213134004
6133023013120
720152346214
oct4221745610
91432178653
10575130504
11275712073
1214073a1a0
13921cbc10
1456551944
1535759089
hex2247cb88

575130504 has 128 divisors (see below), whose sum is σ = 1600220160. Its totient is φ = 171134208.

The previous prime is 575130503. The next prime is 575130527. The reversal of 575130504 is 405031575.

It is not an unprimeable number, because it can be changed into a prime (575130503) 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 31 ways as a sum of consecutive naturals, for example, 2186677 + ... + 2186939.

It is an arithmetic number, because the mean of its divisors is an integer number (12501720).

Almost surely, 2575130504 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 575130504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800110080).

575130504 is an abundant number, since it is smaller than the sum of its proper divisors (1025089656).

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

575130504 is a wasteful number, since it uses less digits than its factorization.

575130504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 575130504 is about 23981.8786586873. The cubic root of 575130504 is about 831.6146552873.

The spelling of 575130504 in words is "five hundred seventy-five million, one hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 163 172 258 263 312 326 344 489 516 526 559 652 789 978 1032 1052 1118 1304 1578 1677 1956 2104 2119 2236 3156 3354 3419 3912 4238 4472 6312 6357 6708 6838 7009 8476 10257 11309 12714 13416 13676 14018 16952 20514 21027 22618 25428 27352 28036 33927 41028 42054 42869 45236 50856 56072 67854 82056 84108 85738 90472 91117 128607 135708 147017 168216 171476 182234 257214 271416 273351 294034 342952 364468 441051 514428 546702 557297 588068 728936 882102 1028856 1093404 1114594 1176136 1671891 1764204 1843367 2186808 2229188 3343782 3528408 3686734 4458376 5530101 6687564 7373468 11060202 13375128 14746936 22120404 23963771 44240808 47927542 71891313 95855084 143782626 191710168 287565252 575130504