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11480448 = 27374271
BaseRepresentation
bin101011110010…
…110110000000
3210121021012210
4223302312000
510414333243
61050022120
7166403460
oct53626600
923537183
1011480448
116531481
123a17940
1324bc685
14174bba0
15101b933
hexaf2d80

11480448 has 64 divisors (see below), whose sum is σ = 34859520. Its totient is φ = 3279360.

The previous prime is 11480431. The next prime is 11480449. The reversal of 11480448 is 84408411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11480449) 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, 553 + ... + 4823.

It is an arithmetic number, because the mean of its divisors is an integer number (544680).

Almost surely, 211480448 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 11480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429760).

11480448 is an abundant number, since it is smaller than the sum of its proper divisors (23379072).

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

11480448 is an equidigital number, since it uses as much as digits as its factorization.

11480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 11480448 is about 3388.2809800841. The cubic root of 11480448 is about 225.5898793307.

Adding to 11480448 its reverse (84408411), we get a palindrome (95888859).

The spelling of 11480448 in words is "eleven million, four hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4271 8542 12813 17084 25626 29897 34168 51252 59794 68336 89691 102504 119588 136672 179382 205008 239176 273344 358764 410016 478352 546688 717528 820032 956704 1435056 1640064 1913408 2870112 3826816 5740224 11480448