Search a number
-
+
12052048 = 241759751
BaseRepresentation
bin101101111110…
…011001010000
3211200022022011
4231332121100
511041131143
61110152304
7204304111
oct55763120
924608264
1012052048
116891978
124052694
13265c8b8
14185a208
1510d0e9d
hexb7e650

12052048 has 40 divisors (see below), whose sum is σ = 25176960. Its totient is φ = 5568000.

The previous prime is 12052043. The next prime is 12052093. The reversal of 12052048 is 84025021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15673 + ... + 16423.

It is an arithmetic number, because the mean of its divisors is an integer number (629424).

It is a vampire number, since it can be written as 15028024 (with its own digits).

Almost surely, 212052048 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 12052048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588480).

12052048 is an abundant number, since it is smaller than the sum of its proper divisors (13124912).

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

12052048 is a wasteful number, since it uses less digits than its factorization.

12052048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12052048 is about 3471.6059684244. The cubic root of 12052048 is about 229.2733715901.

Adding to 12052048 its reverse (84025021), we get a palindrome (96077069).

The spelling of 12052048 in words is "twelve million, fifty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 751 944 1003 1502 2006 3004 4012 6008 8024 12016 12767 16048 25534 44309 51068 88618 102136 177236 204272 354472 708944 753253 1506506 3013012 6026024 12052048