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11416448 = 27791129
BaseRepresentation
bin101011100011…
…001110000000
3210111000102102
4223203032000
510410311243
61044405532
7166016051
oct53431600
923430372
1011416448
11649838a
1239a68a8
1324994c4
141732728
1510079b8
hexae3380

11416448 has 32 divisors (see below), whose sum is σ = 23052000. Its totient is φ = 5630976.

The previous prime is 11416429. The next prime is 11416451. The reversal of 11416448 is 84461411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11416448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9548 + ... + 10676.

It is an arithmetic number, because the mean of its divisors is an integer number (720375).

Almost surely, 211416448 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 11416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526000).

11416448 is an abundant number, since it is smaller than the sum of its proper divisors (11635552).

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

11416448 is an equidigital number, since it uses as much as digits as its factorization.

11416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 11416448 is about 3378.8234638702. The cubic root of 11416448 is about 225.1698996584.

Adding to 11416448 its reverse (84461411), we get a palindrome (95877859).

The spelling of 11416448 in words is "eleven million, four hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1129 1264 2258 2528 4516 5056 9032 10112 18064 36128 72256 89191 144512 178382 356764 713528 1427056 2854112 5708224 11416448