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27062144 = 271131871
BaseRepresentation
bin110011100111…
…0111110000000
31212220220021122
41213032332000
523411442034
62404011412
7446011244
oct147167600
955826248
1027062144
111430420a
129090b68
1357b6a05
143846424
15259862e
hex19cef80

27062144 has 32 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 13404160.

The previous prime is 27062107. The next prime is 27062149. The reversal of 27062144 is 44126072.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27062149) 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 3 ways as a sum of consecutive naturals, for example, 13529 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 227062144 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 27062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

27062144 is an abundant number, since it is smaller than the sum of its proper divisors (27356896).

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

27062144 is a wasteful number, since it uses less digits than its factorization.

27062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27062144 is about 5202.1287950223. The cubic root of 27062144 is about 300.2299866051.

The spelling of 27062144 in words is "twenty-seven million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 1871 3616 3742 7232 7484 14464 14968 29936 59872 119744 211423 239488 422846 845692 1691384 3382768 6765536 13531072 27062144