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27229312 = 271183233
BaseRepresentation
bin110011111011…
…1110010000000
31220020101121001
41213313302000
523432314222
62411341344
7450305515
oct147676200
956211531
1027229312
1114408870
129151854
135844b26
14388b30c
1525cce27
hex19f7c80

27229312 has 64 divisors (see below), whose sum is σ = 60147360. Its totient is φ = 12175360.

The previous prime is 27229259. The next prime is 27229327. The reversal of 27229312 is 21392272.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116748 + ... + 116980.

Almost surely, 227229312 is an apocalyptic number.

27229312 is a gapful number since it is divisible by the number (22) 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 27229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073680).

27229312 is an abundant number, since it is smaller than the sum of its proper divisors (32918048).

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

27229312 is a wasteful number, since it uses less digits than its factorization.

27229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 27229312 is about 5218.1713271988. The cubic root of 27229312 is about 300.8469105954.

It can be divided in two parts, 272 and 29312, that added together give a square (29584 = 1722).

The spelling of 27229312 in words is "twenty-seven million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 233 332 352 466 664 704 913 932 1328 1408 1826 1864 2563 2656 3652 3728 5126 5312 7304 7456 10252 10624 14608 14912 19339 20504 29216 29824 38678 41008 58432 77356 82016 116864 154712 164032 212729 309424 328064 425458 618848 850916 1237696 1701832 2475392 3403664 6807328 13614656 27229312