Search a number
-
+
11863248 = 24359271
BaseRepresentation
bin101101010000…
…010011010000
3211022201022120
4231100103100
511014110443
61102134240
7202556505
oct55202320
924281276
1011863248
116773041
123b81380
1325c4997
14180b4ac
151095083
hexb504d0

11863248 has 60 divisors (see below), whose sum is σ = 31614048. Its totient is φ = 3832640.

The previous prime is 11863237. The next prime is 11863249. The reversal of 11863248 is 84236811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11863249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167053 + ... + 167123.

Almost surely, 211863248 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 11863248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807024).

11863248 is an abundant number, since it is smaller than the sum of its proper divisors (19750800).

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

11863248 is an equidigital number, since it uses as much as digits as its factorization.

11863248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 135 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 11863248 is about 3444.3066065610. The cubic root of 11863248 is about 228.0698462525.

The spelling of 11863248 in words is "eleven million, eight hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 71 118 142 177 213 236 284 354 426 472 568 708 852 944 1136 1416 1704 2832 3408 3481 4189 6962 8378 10443 12567 13924 16756 20886 25134 27848 33512 41772 50268 55696 67024 83544 100536 167088 201072 247151 494302 741453 988604 1482906 1977208 2965812 3954416 5931624 11863248