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3866112 = 2932839
BaseRepresentation
bin1110101111111000000000
321021102022100
432233320000
51442203422
6214510400
744601315
oct16577000
97242270
103866112
112200738
121365400
13a54953
14728d0c
155157ac
hex3afe00

3866112 has 60 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 1287168.

The previous prime is 3866099. The next prime is 3866117. The reversal of 3866112 is 2116683.

3866112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3866117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4189 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 23866112 is an apocalyptic number.

3866112 is a gapful number since it is divisible by the number (32) 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 3866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

3866112 is an abundant number, since it is smaller than the sum of its proper divisors (7305048).

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

3866112 is an equidigital number, since it uses as much as digits as its factorization.

3866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3866112 is about 1966.2431182333. The cubic root of 3866112 is about 156.9488521231.

The spelling of 3866112 in words is "three million, eight hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 839 1152 1536 1678 2304 2517 3356 4608 5034 6712 7551 10068 13424 15102 20136 26848 30204 40272 53696 60408 80544 107392 120816 161088 214784 241632 322176 429568 483264 644352 966528 1288704 1933056 3866112