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12889884 = 2237173887
BaseRepresentation
bin110001001010…
…111100011100
3220020212121010
4301022330130
511244434014
61140135220
7214363560
oct61127434
926225533
1012889884
1173043a7
124397510
132894067
1419d76a0
1511e9359
hexc4af1c

12889884 has 48 divisors (see below), whose sum is σ = 34610688. Its totient is φ = 3657408.

The previous prime is 12889883. The next prime is 12889889. The reversal of 12889884 is 48898821.

12889884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128898842 = 332298219066912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14089 + ... + 14975.

It is an arithmetic number, because the mean of its divisors is an integer number (721056).

Almost surely, 212889884 is an apocalyptic number.

12889884 is a gapful number since it is divisible by the number (14) 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 12889884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305344).

12889884 is an abundant number, since it is smaller than the sum of its proper divisors (21720804).

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

12889884 is a wasteful number, since it uses less digits than its factorization.

12889884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 12889884 is about 3590.2484593688. The cubic root of 12889884 is about 234.4676890636.

The spelling of 12889884 in words is "twelve million, eight hundred eighty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 887 1038 1211 1774 2076 2422 2661 3548 3633 4844 5322 6209 7266 10644 12418 14532 18627 24836 37254 74508 153451 306902 460353 613804 920706 1074157 1841412 2148314 3222471 4296628 6444942 12889884