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27082032 = 2431134993
BaseRepresentation
bin110011101001…
…1110100110000
31212221220120020
41213103310300
523413111112
62404243440
7446123235
oct147236460
955856506
1027082032
111431814a
1290a0580
1357c2a93
14384d78c
15259e48c
hex19d3d30

27082032 has 40 divisors (see below), whose sum is σ = 70595184. Its totient is φ = 8945664.

The previous prime is 27082009. The next prime is 27082043. The reversal of 27082032 is 23028072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 27081993 and 27082011.

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, 2928 + ... + 7920.

Almost surely, 227082032 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 27082032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35297592).

27082032 is an abundant number, since it is smaller than the sum of its proper divisors (43513152).

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

27082032 is a wasteful number, since it uses less digits than its factorization.

27082032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27082032 is about 5204.0399691009. The cubic root of 27082032 is about 300.3035150474.

The spelling of 27082032 in words is "twenty-seven million, eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 4993 5424 9986 14979 19972 29958 39944 59916 79888 119832 239664 564209 1128418 1692627 2256836 3385254 4513672 6770508 9027344 13541016 27082032