[go: up one dir, main page]

Search a number
-
+
4046115330 = 2325894631091
BaseRepresentation
bin1111000100101010…
…1101001000000010
3101102222110221210100
43301022231020002
531241301142310
61505254143230
7202160261415
oct36112551002
911388427710
104046115330
111796a21374
1294b051b16
134c63498aa
142a5519b7c
1518a333ec0
hexf12ad202

4046115330 has 96 divisors (see below), whose sum is σ = 10670849280. Its totient is φ = 1063560960.

The previous prime is 4046115323. The next prime is 4046115331. The reversal of 4046115330 is 335116404.

4046115330 is a `hidden beast` number, since 40 + 4 + 611 + 5 + 3 + 3 + 0 = 666.

It is a super-2 number, since 2×40461153302 = 32742098527322017800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4046115294 and 4046115303.

It is not an unprimeable number, because it can be changed into a prime (4046115331) 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 47 ways as a sum of consecutive naturals, for example, 3708085 + ... + 3709175.

It is an arithmetic number, because the mean of its divisors is an integer number (111154680).

Almost surely, 24046115330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046115330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335424640).

4046115330 is an abundant number, since it is smaller than the sum of its proper divisors (6624733950).

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

4046115330 is a wasteful number, since it uses less digits than its factorization.

4046115330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4046115330 is about 63609.0821345506. The cubic root of 4046115330 is about 1593.4780514997.

The spelling of 4046115330 in words is "four billion, forty-six million, one hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 463 534 801 890 926 1091 1335 1389 1602 2182 2315 2670 2778 3273 4005 4167 4630 5455 6546 6945 8010 8334 9819 10910 13890 16365 19638 20835 32730 41207 41670 49095 82414 97099 98190 123621 194198 206035 247242 291297 370863 412070 485495 505133 582594 618105 741726 873891 970990 1010266 1236210 1456485 1515399 1747782 1854315 2525665 2912970 3030798 3708630 4369455 4546197 5051330 7576995 8738910 9092394 15153990 22730985 44956837 45461970 89913674 134870511 224784185 269741022 404611533 449568370 674352555 809223066 1348705110 2023057665 4046115330