Search a number
-
+
11532248 = 2372133173
BaseRepresentation
bin101011111111…
…011111011000
3210200220021022
4223333133120
510423012443
61051102012
7200010500
oct53773730
923626238
1011532248
116567392
123a41908
13250a120
141762a00
15102be68
hexaff7d8

11532248 has 96 divisors (see below), whose sum is σ = 28344960. Its totient is φ = 4354560.

The previous prime is 11532247. The next prime is 11532251. The reversal of 11532248 is 84223511.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157940 + ... + 158012.

It is an arithmetic number, because the mean of its divisors is an integer number (295260).

Almost surely, 211532248 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 11532248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172480).

11532248 is an abundant number, since it is smaller than the sum of its proper divisors (16812712).

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

11532248 is a wasteful number, since it uses less digits than its factorization.

11532248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 11532248 is about 3395.9163711729. The cubic root of 11532248 is about 225.9286589243.

Adding to 11532248 its reverse (84223511), we get a palindrome (95755759).

The spelling of 11532248 in words is "eleven million, five hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 73 91 98 104 124 146 182 196 217 248 292 364 392 403 434 511 584 637 728 806 868 949 1022 1274 1519 1612 1736 1898 2044 2263 2548 2821 3038 3224 3577 3796 4088 4526 5096 5642 6076 6643 7154 7592 9052 11284 12152 13286 14308 15841 18104 19747 22568 26572 28616 29419 31682 39494 46501 53144 58838 63364 78988 93002 110887 117676 126728 157976 186004 205933 221774 235352 372008 411866 443548 823732 887096 1441531 1647464 2883062 5766124 11532248