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27844973 = 132324049
BaseRepresentation
bin110101000111…
…0000101101101
31221101200010022
41222032011231
524112014343
62432451525
7455451452
oct152160555
957350108
1027844973
1114799382
1293a9ba5
1359cc120
1439ab829
1526a0568
hex1a8e16d

27844973 has 12 divisors (see below), whose sum is σ = 31355100. Its totient is φ = 24579456.

The previous prime is 27844969. The next prime is 27845003. The reversal of 27844973 is 37944872.

It can be written as a sum of positive squares in 2 ways, for example, as 5396329 + 22448644 = 2323^2 + 4738^2 .

It is not a de Polignac number, because 27844973 - 22 = 27844969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27844903) 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 11 ways as a sum of consecutive naturals, for example, 4853 + ... + 8901.

It is an arithmetic number, because the mean of its divisors is an integer number (2612925).

Almost surely, 227844973 is an apocalyptic number.

27844973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27844973 is a deficient number, since it is larger than the sum of its proper divisors (3510127).

27844973 is a wasteful number, since it uses less digits than its factorization.

27844973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4085 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 27844973 is about 5276.8336149627. The cubic root of 27844973 is about 303.0974391352.

The spelling of 27844973 in words is "twenty-seven million, eight hundred forty-four thousand, nine hundred seventy-three".

Divisors: 1 13 23 299 529 4049 6877 52637 93127 1210651 2141921 27844973