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11803808 = 253173163
BaseRepresentation
bin101101000001…
…110010100000
3211012200210002
4231001302200
511010210213
61100555132
7202221302
oct55016240
924180702
1011803808
116732415
123b52aa8
1325a3903
1417d3972
151082658
hexb41ca0

11803808 has 48 divisors (see below), whose sum is σ = 24466176. Its totient is φ = 5598720.

The previous prime is 11803793. The next prime is 11803817. The reversal of 11803808 is 80830811.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72335 + ... + 72497.

It is an arithmetic number, because the mean of its divisors is an integer number (509712).

Almost surely, 211803808 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 11803808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233088).

11803808 is an abundant number, since it is smaller than the sum of its proper divisors (12662368).

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

11803808 is a wasteful number, since it uses less digits than its factorization.

11803808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11803808 is about 3435.6670385822. The cubic root of 11803808 is about 227.6882988000.

The spelling of 11803808 in words is "eleven million, eight hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 163 248 292 326 496 584 652 992 1168 1304 2263 2336 2608 4526 5053 5216 9052 10106 11899 18104 20212 23798 36208 40424 47596 72416 80848 95192 161696 190384 368869 380768 737738 1475476 2950952 5901904 11803808