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11149248 = 263115279
BaseRepresentation
bin101010100001…
…111111000000
3202222102220010
4222201333000
510323233443
61034544520
7163524045
oct52417700
922872803
1011149248
116325660
123898140
1324049b6
1416a31cc
15ea3733
hexaa1fc0

11149248 has 56 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 3377920.

The previous prime is 11149241. The next prime is 11149249. The reversal of 11149248 is 84294111.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149241) 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, 528 + ... + 4751.

Almost surely, 211149248 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 11149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

11149248 is an abundant number, since it is smaller than the sum of its proper divisors (21037632).

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

11149248 is a wasteful number, since it uses less digits than its factorization.

11149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5295 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11149248 is about 3339.0489663975. The cubic root of 11149248 is about 223.3993260587.

The spelling of 11149248 in words is "eleven million, one hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5279 10558 15837 21116 31674 42232 58069 63348 84464 116138 126696 168928 174207 232276 253392 337856 348414 464552 506784 696828 929104 1013568 1393656 1858208 2787312 3716416 5574624 11149248