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11482432 = 261337373
BaseRepresentation
bin101011110011…
…010101000000
3210121100221021
4223303111000
510414414212
61050035224
7166412323
oct53632500
923540837
1011482432
116532a15
123a18b14
1324c0550
14174c7ba
15101c307
hexaf3540

11482432 has 56 divisors (see below), whose sum is σ = 25268936. Its totient is φ = 5142528.

The previous prime is 11482421. The next prime is 11482433. The reversal of 11482432 is 23428411.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 9339136 = 1464^2 + 3056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11482397 and 11482406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11482433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30598 + ... + 30970.

It is an arithmetic number, because the mean of its divisors is an integer number (451231).

Almost surely, 211482432 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 11482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634468).

11482432 is an abundant number, since it is smaller than the sum of its proper divisors (13786504).

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

11482432 is a wasteful number, since it uses less digits than its factorization.

11482432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 11482432 is about 3388.5737412664. The cubic root of 11482432 is about 225.6028737290.

The spelling of 11482432 in words is "eleven million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 373 416 481 592 746 832 962 1184 1492 1924 2368 2984 3848 4849 5968 7696 9698 11936 13801 15392 19396 23872 27602 30784 38792 55204 77584 110408 155168 179413 220816 310336 358826 441632 717652 883264 1435304 2870608 5741216 11482432