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11868048 = 2432731129
BaseRepresentation
bin101101010001…
…011110010000
3211022221220100
4231101132100
511014234143
61102212400
7202606503
oct55213620
924287810
1011868048
116776705
123b84100
1325c6c1a
14180d13a
1510966d3
hexb51790

11868048 has 60 divisors (see below), whose sum is σ = 33698860. Its totient is φ = 3898368.

The previous prime is 11868041. The next prime is 11868049. The reversal of 11868048 is 84086811.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 8363664 = 1872^2 + 2892^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11868041) 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 11 ways as a sum of consecutive naturals, for example, 9948 + ... + 11076.

Almost surely, 211868048 is an apocalyptic number.

11868048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849430).

11868048 is an abundant number, since it is smaller than the sum of its proper divisors (21830812).

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

11868048 is a wasteful number, since it uses less digits than its factorization.

11868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11868048 is about 3445.0033381696. The cubic root of 11868048 is about 228.1006019569.

The spelling of 11868048 in words is "eleven million, eight hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1129 1168 1314 1752 2258 2628 3387 3504 4516 5256 6774 9032 10161 10512 13548 18064 20322 27096 40644 54192 81288 82417 162576 164834 247251 329668 494502 659336 741753 989004 1318672 1483506 1978008 2967012 3956016 5934024 11868048