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33031993 = 174118973
BaseRepresentation
bin111111000000…
…0011100111001
32022011012101011
41332000130321
531424010433
63135553521
7550524121
oct176003471
968135334
1033031993
1117711475
12b08b8a1
136ac7077
14455bc81
152d773cd
hex1f80739

33031993 has 4 divisors (see below), whose sum is σ = 33052708. Its totient is φ = 33011280.

The previous prime is 33031991. The next prime is 33032017. The reversal of 33031993 is 39913033.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39913033 = 107373019.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 29452329 = 1892^2 + 5427^2 .

It is a cyclic number.

It is not a de Polignac number, because 33031993 - 21 = 33031991 is a prime.

It is a super-2 number, since 2×330319932 = 2182225123104098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33031991) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7746 + ... + 11227.

It is an arithmetic number, because the mean of its divisors is an integer number (8263177).

Almost surely, 233031993 is an apocalyptic number.

It is an amenable number.

33031993 is a deficient number, since it is larger than the sum of its proper divisors (20715).

33031993 is a wasteful number, since it uses less digits than its factorization.

33031993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714.

The product of its (nonzero) digits is 6561, while the sum is 31.

The square root of 33031993 is about 5747.3466051736. The cubic root of 33031993 is about 320.8570547180.

It can be divided in two parts, 330 and 31993, that added together give a palindrome (32323).

The spelling of 33031993 in words is "thirty-three million, thirty-one thousand, nine hundred ninety-three".

Divisors: 1 1741 18973 33031993