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33144027 = 375397307
BaseRepresentation
bin111111001101…
…1110011011011
32022100220001120
41332123303123
531441102102
63142220323
7551501550
oct176336333
968326046
1033144027
1117788664
12b1246a3
136b36067
14458aa27
152d9a6bc
hex1f9bcdb

33144027 has 32 divisors (see below), whose sum is σ = 52157952. Its totient is φ = 18330624.

The previous prime is 33144019. The next prime is 33144073. The reversal of 33144027 is 72044133.

It is not a de Polignac number, because 33144027 - 23 = 33144019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33143988 and 33144006.

It is not an unprimeable number, because it can be changed into a prime (33144077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107808 + ... + 108114.

It is an arithmetic number, because the mean of its divisors is an integer number (1629936).

Almost surely, 233144027 is an apocalyptic number.

33144027 is a deficient number, since it is larger than the sum of its proper divisors (19013925).

33144027 is a wasteful number, since it uses less digits than its factorization.

33144027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 33144027 is about 5757.0849394464. The cubic root of 33144027 is about 321.2193936937.

Subtracting from 33144027 its product of nonzero digits (2016), we obtain a triangular number (33142011 = T8141).

The spelling of 33144027 in words is "thirty-three million, one hundred forty-four thousand, twenty-seven".

Divisors: 1 3 7 21 53 97 159 291 307 371 679 921 1113 2037 2149 5141 6447 15423 16271 29779 35987 48813 89337 107961 113897 208453 341691 625359 1578287 4734861 11048009 33144027