Search a number
-
+
11828768 = 25752807
BaseRepresentation
bin101101000111…
…111000100000
3211020222000112
4231013320200
511012010033
61101310452
7202354130
oct55077040
924228015
1011828768
11674a146
123b65428
1325b2093
1417dcac0
151089c48
hexb47e20

11828768 has 24 divisors (see below), whose sum is σ = 26615232. Its totient is φ = 5069376.

The previous prime is 11828767. The next prime is 11828771. The reversal of 11828768 is 86782811.

It is not an unprimeable number, because it can be changed into a prime (11828767) 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 3 ways as a sum of consecutive naturals, for example, 26180 + ... + 26627.

It is an arithmetic number, because the mean of its divisors is an integer number (1108968).

Almost surely, 211828768 is an apocalyptic number.

It is an amenable number.

11828768 is an abundant number, since it is smaller than the sum of its proper divisors (14786464).

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

11828768 is an equidigital number, since it uses as much as digits as its factorization.

11828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52824 (or 52816 counting only the distinct ones).

The product of its digits is 43008, while the sum is 41.

The square root of 11828768 is about 3439.2976027090. The cubic root of 11828768 is about 227.8486735667.

The spelling of 11828768 in words is "eleven million, eight hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 52807 105614 211228 369649 422456 739298 844912 1478596 1689824 2957192 5914384 11828768