Search a number
-
+
575332272 = 243273229239
BaseRepresentation
bin100010010010101…
…101111110110000
31111002120220111200
4202102231332300
52134241113042
6133031211200
720154146364
oct4222557660
91432526450
10575332272
1127583a719
12140816b00
139226c9c8
14565a52a4
1535798c4c
hex224adfb0

575332272 has 120 divisors (see below), whose sum is σ = 1646174400. Its totient is φ = 187536384.

The previous prime is 575332271. The next prime is 575332291. The reversal of 575332272 is 272233575.

575332272 is a `hidden beast` number, since 57 + 5 + 332 + 272 = 666.

575332272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (575332271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2407129 + ... + 2407367.

It is an arithmetic number, because the mean of its divisors is an integer number (13718120).

Almost surely, 2575332272 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 575332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823087200).

575332272 is an abundant number, since it is smaller than the sum of its proper divisors (1070842128).

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

575332272 is a wasteful number, since it uses less digits than its factorization.

575332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 575332272 is about 23986.0849660798. The cubic root of 575332272 is about 831.7118932803.

It can be divided in two parts, 5753 and 32272, that added together give a square (38025 = 1952).

The spelling of 575332272 in words is "five hundred seventy-five million, three hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 229 239 292 438 458 478 584 657 687 717 876 916 956 1168 1314 1374 1434 1752 1832 1912 2061 2151 2628 2748 2868 3504 3664 3824 4122 4302 5256 5496 5736 8244 8604 10512 10992 11472 16488 16717 17208 17447 32976 33434 34416 34894 50151 52341 54731 66868 69788 100302 104682 109462 133736 139576 150453 157023 164193 200604 209364 218924 267472 279152 300906 314046 328386 401208 418728 437848 492579 601812 628092 656772 802416 837456 875696 985158 1203624 1256184 1313544 1970316 2407248 2512368 2627088 3940632 3995363 7881264 7990726 11986089 15981452 23972178 31962904 35958267 47944356 63925808 71916534 95888712 143833068 191777424 287666136 575332272