Search a number
-
+
12886488 = 2332892011
BaseRepresentation
bin110001001010…
…000111011000
3220020200221100
4301022013120
511244331423
61140111400
7214350636
oct61120730
926220840
1012886488
11730189a
124395560
132892654
1419d6356
1511e8343
hexc4a1d8

12886488 has 48 divisors (see below), whose sum is σ = 35310600. Its totient is φ = 4245120.

The previous prime is 12886487. The next prime is 12886499. The reversal of 12886488 is 88468821.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5403 + ... + 7413.

Almost surely, 212886488 is an apocalyptic number.

12886488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12886488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655300).

12886488 is an abundant number, since it is smaller than the sum of its proper divisors (22424112).

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

12886488 is a wasteful number, since it uses less digits than its factorization.

12886488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2105 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 12886488 is about 3589.7754804444. The cubic root of 12886488 is about 234.4470961136.

It can be divided in two parts, 1288 and 6488, that added together give a 5-th power (7776 = 65).

The spelling of 12886488 in words is "twelve million, eight hundred eighty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2011 2136 3204 4022 6033 6408 8044 12066 16088 18099 24132 36198 48264 72396 144792 178979 357958 536937 715916 1073874 1431832 1610811 2147748 3221622 4295496 6443244 12886488