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33142768 = 2412891607
BaseRepresentation
bin111111001101…
…1011111110000
32022100211022221
41332123133300
531441032033
63142210424
7551465101
oct176333760
968324287
1033142768
111778771a
12b123a14
136b35609
14458a3a8
152d9a12d
hex1f9b7f0

33142768 has 20 divisors (see below), whose sum is σ = 64303920. Its totient is φ = 16548224.

The previous prime is 33142763. The next prime is 33142777. The reversal of 33142768 is 86724133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142763) 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 3 ways as a sum of consecutive naturals, for example, 19821 + ... + 21427.

It is an arithmetic number, because the mean of its divisors is an integer number (3215196).

Almost surely, 233142768 is an apocalyptic number.

It is an amenable number.

33142768 is a deficient number, since it is larger than the sum of its proper divisors (31161152).

33142768 is a wasteful number, since it uses less digits than its factorization.

33142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 33142768 is about 5756.9755948762. The cubic root of 33142768 is about 321.2153263914.

The spelling of 33142768 in words is "thirty-three million, one hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 1289 1607 2578 3214 5156 6428 10312 12856 20624 25712 2071423 4142846 8285692 16571384 33142768