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11983248 = 243327739
BaseRepresentation
bin101101101101…
…100110010000
3211112210221000
4231231212100
511031430443
61104502000
7203566404
oct55554620
924483830
1011983248
116845212
12401a900
1326374a4
14183d104
1510ba8d3
hexb6d990

11983248 has 40 divisors (see below), whose sum is σ = 34397600. Its totient is φ = 3994272.

The previous prime is 11983241. The next prime is 11983259. The reversal of 11983248 is 84238911.

11983248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11983241) 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, 13438 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (859940).

Almost surely, 211983248 is an apocalyptic number.

11983248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11983248 is an abundant number, since it is smaller than the sum of its proper divisors (22414352).

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

11983248 is a wasteful number, since it uses less digits than its factorization.

11983248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27756 (or 27744 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11983248 is about 3461.6828277588. The cubic root of 11983248 is about 228.8362641592.

The spelling of 11983248 in words is "eleven million, nine hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 27739 55478 83217 110956 166434 221912 249651 332868 443824 499302 665736 748953 998604 1331472 1497906 1997208 2995812 3994416 5991624 11983248