Search a number
-
+
12807882 = 234173457
BaseRepresentation
bin110000110110…
…111011001010
3220002201010000
4300312323022
511234323012
61134303430
7213602523
oct60667312
926081100
1012807882
11725882a
124357b76
132865939
1419b584a
1511ceddc
hexc36eca

12807882 has 40 divisors (see below), whose sum is σ = 28928196. Its totient is φ = 4235328.

The previous prime is 12807871. The next prime is 12807943. The reversal of 12807882 is 28870821.

It can be written as a sum of positive squares in 2 ways, for example, as 10439361 + 2368521 = 3231^2 + 1539^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 27798 + ... + 28254.

Almost surely, 212807882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12807882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464098).

12807882 is an abundant number, since it is smaller than the sum of its proper divisors (16120314).

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

12807882 is a wasteful number, since it uses less digits than its factorization.

12807882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12807882 is about 3578.8101374619. The cubic root of 12807882 is about 233.9694240128.

It can be divided in two parts, 12807 and 882, that added together give a square (13689 = 1172).

The spelling of 12807882 in words is "twelve million, eight hundred seven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 457 519 914 1038 1371 1557 2742 3114 4113 4671 8226 9342 12339 14013 24678 28026 37017 74034 79061 158122 237183 474366 711549 1423098 2134647 4269294 6403941 12807882