Search a number
-
+
11249088 = 263411429
BaseRepresentation
bin101010111010…
…010111000000
3210011111211220
4222322113000
510334432323
61041035040
7164421114
oct52722700
923144756
1011249088
116393674
123925a80
13243b286
1416cb744
15ec30e3
hexaba5c0

11249088 has 56 divisors (see below), whose sum is σ = 30510480. Its totient is φ = 3655680.

The previous prime is 11249059. The next prime is 11249089. The reversal of 11249088 is 88094211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249089) 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, 7158 + ... + 8586.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 211249088 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 11249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

11249088 is an abundant number, since it is smaller than the sum of its proper divisors (19261392).

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

11249088 is a wasteful number, since it uses less digits than its factorization.

11249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11249088 is about 3353.9660105612. The cubic root of 11249088 is about 224.0641822885.

The spelling of 11249088 in words is "eleven million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1429 1968 2624 2858 3936 4287 5716 7872 8574 11432 17148 22864 34296 45728 58589 68592 91456 117178 137184 175767 234356 274368 351534 468712 703068 937424 1406136 1874848 2812272 3749696 5624544 11249088