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11482848 = 2532133067
BaseRepresentation
bin101011110011…
…011011100000
3210121101111200
4223303123200
510414422343
61050041200
7166413456
oct53633340
923541450
1011482848
116533263
123a19200
1324c07b0
14174c9d6
15101c4d3
hexaf36e0

11482848 has 72 divisors (see below), whose sum is σ = 35177688. Its totient is φ = 3532032.

The previous prime is 11482847. The next prime is 11482853. The reversal of 11482848 is 84828411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114828482 = 263711596382208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11482841) 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 11 ways as a sum of consecutive naturals, for example, 2211 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (488579).

Almost surely, 211482848 is an apocalyptic number.

11482848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588844).

11482848 is an abundant number, since it is smaller than the sum of its proper divisors (23694840).

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

11482848 is a wasteful number, since it uses less digits than its factorization.

11482848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3085 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 11482848 is about 3388.6351234679. The cubic root of 11482848 is about 225.6055981710.

The spelling of 11482848 in words is "eleven million, four hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3067 3744 6134 9201 12268 18402 24536 27603 36804 39871 49072 55206 73608 79742 98144 110412 119613 147216 159484 220824 239226 294432 318968 358839 441648 478452 637936 717678 883296 956904 1275872 1435356 1913808 2870712 3827616 5741424 11482848