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12000048 = 24353289
BaseRepresentation
bin101101110001…
…101100110000
3211120122222020
4231301230300
511033000143
61105111440
7203666364
oct55615460
924518866
1012000048
1168568a5
124028580
132642028
1418452a4
1510c0883
hexb71b30

12000048 has 60 divisors (see below), whose sum is σ = 31951080. Its totient is φ = 3880448.

The previous prime is 12000029. The next prime is 12000073. The reversal of 12000048 is 84000021.

12000048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 134788 + ... + 134876.

It is an arithmetic number, because the mean of its divisors is an integer number (532518).

Almost surely, 212000048 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 12000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975540).

12000048 is an abundant number, since it is smaller than the sum of its proper divisors (19951032).

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

12000048 is an equidigital number, since it uses as much as digits as its factorization.

12000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12000048 is about 3464.1085433341. The cubic root of 12000048 is about 228.9431537674.

Adding to 12000048 its reverse (84000021), we get a palindrome (96000069).

It can be divided in two parts, 120000 and 48, that multiplied together give a square (5760000 = 24002).

The spelling of 12000048 in words is "twelve million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 212 267 318 356 424 534 636 712 848 1068 1272 1424 2136 2544 2809 4272 4717 5618 8427 9434 11236 14151 16854 18868 22472 28302 33708 37736 44944 56604 67416 75472 113208 134832 226416 250001 500002 750003 1000004 1500006 2000008 3000012 4000016 6000024 12000048