Search a number
-
+
11048912 = 247217829
BaseRepresentation
bin101010001001…
…011111010000
3202210100020222
4222021133100
510312031122
61032452212
7162625400
oct52113720
922710228
1011048912
116267236
12384a068
13239b124
141678800
15e83b42
hexa897d0

11048912 has 60 divisors (see below), whose sum is σ = 26398980. Its totient is φ = 4451328.

The previous prime is 11048879. The next prime is 11048923. The reversal of 11048912 is 21984011.

It can be written as a sum of positive squares in 2 ways, for example, as 7529536 + 3519376 = 2744^2 + 1876^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12914 + ... + 13742.

It is an arithmetic number, because the mean of its divisors is an integer number (439983).

Almost surely, 211048912 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 11048912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199490).

11048912 is an abundant number, since it is smaller than the sum of its proper divisors (15350068).

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

11048912 is a wasteful number, since it uses less digits than its factorization.

11048912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11048912 is about 3323.9903730306. The cubic root of 11048912 is about 222.7271559678.

The spelling of 11048912 in words is "eleven million, forty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 829 833 952 1658 1666 1904 3316 3332 5803 6632 6664 11606 13264 13328 14093 23212 28186 40621 46424 56372 81242 92848 98651 112744 162484 197302 225488 324968 394604 649936 690557 789208 1381114 1578416 2762228 5524456 11048912