Search a number
12522048 = 26372113
BaseRepresentation
bin101111110001…
…001001000000
3212120012000120
4233301021000
511201201143
61124220240
7211302300
oct57611100
925505016
1012522048
117083000
12423a680
1327957c6
14193d600
151175383
hexbf1240

12522048 has 168 divisors, whose sum is σ = 42391584. Its totient is φ = 3252480.

The previous prime is 12522043. The next prime is 12522067. The reversal of 12522048 is 84022521.

Adding to 12522048 its reverse (84022521), we get a palindrome (96544569).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×125220482 = 313603372228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12522043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138363 + ... + 1138373.

Almost surely, 212522048 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 12522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195792).

12522048 is an abundant number, since it is smaller than the sum of its proper divisors (29869536).

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

12522048 is an equidigital number, since it uses as much as digits as its factorization.

12522048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12522048 is about 3538.6505902674. The cubic root of 12522048 is about 232.2158118678.

The spelling of 12522048 in words is "twelve million, five hundred twenty-two thousand, forty-eight".