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27053216 = 253773313
BaseRepresentation
bin110011100110…
…0110010100000
31212220110000222
41213030302200
523411200331
62403502212
7445643231
oct147146240
955813028
1027053216
11142a8533
129087968
1357b2928
143843088
152595b7b
hex19ccca0

27053216 has 48 divisors (see below), whose sum is σ = 55626984. Its totient is φ = 12939264.

The previous prime is 27053209. The next prime is 27053219. The reversal of 27053216 is 61235072.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 5856400 = 4604^2 + 2420^2 .

It is not an unprimeable number, because it can be changed into a prime (27053219) 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 7 ways as a sum of consecutive naturals, for example, 86276 + ... + 86588.

Almost surely, 227053216 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 27053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27813492).

27053216 is an abundant number, since it is smaller than the sum of its proper divisors (28573768).

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

27053216 is a wasteful number, since it uses less digits than its factorization.

27053216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 27053216 is about 5201.2706139942. The cubic root of 27053216 is about 300.1969669481.

Adding to 27053216 its reverse (61235072), we get a palindrome (88288288).

The spelling of 27053216 in words is "twenty-seven million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 313 584 592 626 1168 1184 1252 2336 2504 2701 5008 5402 10016 10804 11581 21608 22849 23162 43216 45698 46324 86432 91396 92648 182792 185296 365584 370592 731168 845413 1690826 3381652 6763304 13526608 27053216