Search a number
-
+
5578144 = 2511132353
BaseRepresentation
bin10101010001110110100000
3101111101202221
4111101312200
52412000034
6315320424
765261545
oct25216640
911441687
105578144
11316aa40
121a50114
131203ca0
14a52bcc
15752bb4
hex551da0

5578144 has 96 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 2196480.

The previous prime is 5578141. The next prime is 5578151. The reversal of 5578144 is 4418755.

It is a super-2 number, since 2×55781442 = 62231380969472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5578141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105222 + ... + 105274.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 25578144 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 5578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

5578144 is an abundant number, since it is smaller than the sum of its proper divisors (8138720).

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

5578144 is a wasteful number, since it uses less digits than its factorization.

5578144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 5578144 is about 2361.8094758045. The cubic root of 5578144 is about 177.3494749787.

The spelling of 5578144 in words is "five million, five hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 53 88 92 104 106 143 176 184 208 212 253 286 299 352 368 416 424 506 572 583 598 689 736 848 1012 1144 1166 1196 1219 1378 1696 2024 2288 2332 2392 2438 2756 3289 4048 4576 4664 4784 4876 5512 6578 7579 8096 9328 9568 9752 11024 13156 13409 15158 15847 18656 19504 22048 26312 26818 30316 31694 39008 52624 53636 60632 63388 105248 107272 121264 126776 174317 214544 242528 253552 348634 429088 507104 697268 1394536 2789072 5578144