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12028848 = 2431337521
BaseRepresentation
bin101101111000…
…101110110000
3211122010110220
4231320232300
511034410343
61105453040
7204146346
oct55705660
924563426
1012028848
1168764a7
124041180
132652180
141851996
1510c9183
hexb78bb0

12028848 has 80 divisors (see below), whose sum is σ = 34435296. Its totient is φ = 3594240.

The previous prime is 12028847. The next prime is 12028859. The reversal of 12028848 is 84882021.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12028847) 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 15 ways as a sum of consecutive naturals, for example, 22828 + ... + 23348.

Almost surely, 212028848 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 12028848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217648).

12028848 is an abundant number, since it is smaller than the sum of its proper divisors (22406448).

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

12028848 is a wasteful number, since it uses less digits than its factorization.

12028848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12028848 is about 3468.2629658087. The cubic root of 12028848 is about 229.1261612304.

The spelling of 12028848 in words is "twelve million, twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 521 592 624 888 962 1042 1443 1563 1776 1924 2084 2886 3126 3848 4168 5772 6252 6773 7696 8336 11544 12504 13546 19277 20319 23088 25008 27092 38554 40638 54184 57831 77108 81276 108368 115662 154216 162552 231324 250601 308432 325104 462648 501202 751803 925296 1002404 1503606 2004808 3007212 4009616 6014424 12028848