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27129948 = 22319257463
BaseRepresentation
bin110011101111…
…1100001011100
31220001100021220
41213133201130
523421124243
62405253340
7446413026
oct147374134
956040256
1027129948
111435014a
129104250
13580b831
143863016
1525ad783
hex19df85c

27129948 has 48 divisors (see below), whose sum is σ = 67038720. Its totient is φ = 8515584.

The previous prime is 27129931. The next prime is 27129979. The reversal of 27129948 is 84992172.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58365 + ... + 58827.

It is an arithmetic number, because the mean of its divisors is an integer number (1396640).

Almost surely, 227129948 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 27129948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33519360).

27129948 is an abundant number, since it is smaller than the sum of its proper divisors (39908772).

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

27129948 is a wasteful number, since it uses less digits than its factorization.

27129948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 27129948 is about 5208.6416655401. The cubic root of 27129948 is about 300.4805188168.

The spelling of 27129948 in words is "twenty-seven million, one hundred twenty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 257 463 514 771 926 1028 1389 1542 1852 2778 3084 4883 5556 8797 9766 14649 17594 19532 26391 29298 35188 52782 58596 105564 118991 237982 356973 475964 713946 1427892 2260829 4521658 6782487 9043316 13564974 27129948