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12142848 = 28397163
BaseRepresentation
bin101110010100…
…100100000000
3211211220212010
4232110210000
511102032343
61112132520
7205132614
oct56244400
924756763
1012142848
116944113
124097140
132692023
141881344
1510ecd33
hexb94900

12142848 has 72 divisors (see below), whose sum is σ = 32851168. Its totient is φ = 3981312.

The previous prime is 12142829. The next prime is 12142891. The reversal of 12142848 is 84824121.

It is a super-2 number, since 2×121428482 = 294897515102208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74415 + ... + 74577.

Almost surely, 212142848 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 12142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425584).

12142848 is an abundant number, since it is smaller than the sum of its proper divisors (20708320).

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

12142848 is an equidigital number, since it uses as much as digits as its factorization.

12142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 12142848 is about 3484.6589503135. The cubic root of 12142848 is about 229.8477126745.

Adding to 12142848 its reverse (84824121), we get a palindrome (96966969).

The spelling of 12142848 in words is "twelve million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 163 192 194 256 291 326 384 388 489 582 652 768 776 978 1164 1304 1552 1956 2328 2608 3104 3912 4656 5216 6208 7824 9312 10432 12416 15648 15811 18624 20864 24832 31296 31622 37248 41728 47433 62592 63244 74496 94866 125184 126488 189732 252976 379464 505952 758928 1011904 1517856 2023808 3035712 4047616 6071424 12142848