Search a number
-
+
12048048 = 24331672
BaseRepresentation
bin101101111101…
…011010110000
3211200002211000
4231331122300
511041014143
61110122000
7204256335
oct55753260
924602730
1012048048
116889971
124050300
13265ab2c
14185898c
1510cebd3
hexb7d6b0

12048048 has 60 divisors (see below), whose sum is σ = 34790680. Its totient is φ = 3991968.

The previous prime is 12047989. The next prime is 12048073. The reversal of 12048048 is 84084021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×120480482 = 290310921220608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72061 + ... + 72227.

Almost surely, 212048048 is an apocalyptic number.

12048048 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 12048048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395340).

12048048 is an abundant number, since it is smaller than the sum of its proper divisors (22742632).

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

12048048 is an equidigital number, since it uses as much as digits as its factorization.

12048048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12048048 is about 3471.0298183680. The cubic root of 12048048 is about 229.2480039800.

Multiplying 12048048 by its sum of digits (27), we get a square (325297296 = 180362).

12048048 divided by its sum of digits (27) gives a square (446224 = 6682).

The spelling of 12048048 in words is "twelve million, forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1002 1336 1503 2004 2672 3006 4008 4509 6012 8016 9018 12024 18036 24048 27889 36072 55778 72144 83667 111556 167334 223112 251001 334668 446224 502002 669336 753003 1004004 1338672 1506006 2008008 3012012 4016016 6024024 12048048