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11035808 = 257192593
BaseRepresentation
bin101010000110…
…010010100000
3202202200021122
4222012102200
510311121213
61032311412
7162542240
oct52062240
922680248
1011035808
116258403
123842568
132395184
141673b20
15e7ed08
hexa864a0

11035808 has 48 divisors (see below), whose sum is σ = 26147520. Its totient is φ = 4478976.

The previous prime is 11035807. The next prime is 11035811. The reversal of 11035808 is 80853011.

It is not an unprimeable number, because it can be changed into a prime (11035807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2960 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (544740).

Almost surely, 211035808 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 11035808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073760).

11035808 is an abundant number, since it is smaller than the sum of its proper divisors (15111712).

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

11035808 is a wasteful number, since it uses less digits than its factorization.

11035808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 11035808 is about 3322.0186634033. The cubic root of 11035808 is about 222.6390697309.

Adding to 11035808 its reverse (80853011), we get a palindrome (91888819).

The spelling of 11035808 in words is "eleven million, thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2593 4256 5186 10372 18151 20744 36302 41488 49267 72604 82976 98534 145208 197068 290416 344869 394136 580832 689738 788272 1379476 1576544 2758952 5517904 11035808