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33083397 = 34408437
BaseRepresentation
bin111111000110…
…1000000000101
32022020210220000
41332031000011
531432132042
63141031513
7551130024
oct176150005
968223800
1033083397
1117747056
12b0b5599
136b14599
1445728bb
152d8774c
hex1f8d005

33083397 has 10 divisors (see below), whose sum is σ = 49420998. Its totient is φ = 22055544.

The previous prime is 33083363. The next prime is 33083399. The reversal of 33083397 is 79338033.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26687556 + 6395841 = 5166^2 + 2529^2 .

It is not a de Polignac number, because 33083397 - 26 = 33083333 is a prime.

It is a super-2 number, since 2×330833972 = 2189022314119218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33083399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 204138 + ... + 204299.

Almost surely, 233083397 is an apocalyptic number.

It is an amenable number.

33083397 is a deficient number, since it is larger than the sum of its proper divisors (16337601).

33083397 is an equidigital number, since it uses as much as digits as its factorization.

33083397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408449 (or 408440 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 33083397 is about 5751.8168433983. The cubic root of 33083397 is about 321.0234064511.

The spelling of 33083397 in words is "thirty-three million, eighty-three thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 81 408437 1225311 3675933 11027799 33083397