[go: up one dir, main page]

Search a number
-
+
5531328 = 26341197
BaseRepresentation
bin10101000110011011000000
3101102000120000
4111012123000
52404000303
6314320000
765005215
oct25063300
911360500
105531328
113138850
121a29000
1311b889a
14a3db0c
15743da3
hex5466c0

5531328 has 140 divisors (see below), whose sum is σ = 18071592. Its totient is φ = 1658880.

The previous prime is 5531321. The next prime is 5531347. The reversal of 5531328 is 8231355.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5531321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56976 + ... + 57072.

Almost surely, 25531328 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 5531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035796).

5531328 is an abundant number, since it is smaller than the sum of its proper divisors (12540264).

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

5531328 is a wasteful number, since it uses less digits than its factorization.

5531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5531328 is about 2351.8775478328. The cubic root of 5531328 is about 176.8519301738.

Adding to 5531328 its sum of digits (27), we get a palindrome (5531355).

It can be divided in two parts, 553 and 1328, that added together give a palindrome (1881).

The spelling of 5531328 in words is "five million, five hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 97 99 108 132 144 162 176 192 194 198 216 264 288 291 297 324 352 388 396 432 528 576 582 594 648 704 776 792 864 873 891 1056 1067 1164 1188 1296 1552 1584 1728 1746 1782 2112 2134 2328 2376 2592 2619 3104 3168 3201 3492 3564 4268 4656 4752 5184 5238 6208 6336 6402 6984 7128 7857 8536 9312 9504 9603 10476 12804 13968 14256 15714 17072 18624 19008 19206 20952 25608 27936 28512 28809 31428 34144 38412 41904 51216 55872 57024 57618 62856 68288 76824 83808 86427 102432 115236 125712 153648 167616 172854 204864 230472 251424 307296 345708 460944 502848 614592 691416 921888 1382832 1843776 2765664 5531328