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33144013 = 729433797
BaseRepresentation
bin111111001101…
…1110011001101
32022100220001001
41332123303031
531441102023
63142220301
7551501530
oct176336315
968326031
1033144013
1117788651
12b124691
136b36056
14458aa17
152d9a6ad
hex1f9bccd

33144013 has 16 divisors (see below), whose sum is σ = 40106880. Its totient is φ = 26784576.

The previous prime is 33144011. The next prime is 33144019. The reversal of 33144013 is 31044133.

It is not a de Polignac number, because 33144013 - 21 = 33144011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6831 + ... + 10627.

It is an arithmetic number, because the mean of its divisors is an integer number (2506680).

Almost surely, 233144013 is an apocalyptic number.

It is an amenable number.

33144013 is a deficient number, since it is larger than the sum of its proper divisors (6962867).

33144013 is a wasteful number, since it uses less digits than its factorization.

33144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 33144013 is about 5757.0837235531. The cubic root of 33144013 is about 321.2193484662.

Adding to 33144013 its reverse (31044133), we get a palindrome (64188146).

It can be divided in two parts, 331 and 44013, that added together give a palindrome (44344).

The spelling of 33144013 in words is "thirty-three million, one hundred forty-four thousand, thirteen".

Divisors: 1 7 29 43 203 301 1247 3797 8729 26579 110113 163271 770791 1142897 4734859 33144013