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33808745 = 54723061
BaseRepresentation
bin1000000011111…
…0000101101001
32100121122212202
42000332011221
532123334440
63204345545
7560240525
oct200760551
970548782
1033808745
11180a2013
12b3a52b5
137009799
1446c0d85
152e7c615
hex203e169

33808745 has 12 divisors (see below), whose sum is σ = 41465604. Its totient is φ = 26462880.

The previous prime is 33808679. The next prime is 33808757. The reversal of 33808745 is 54780833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23892544 + 9916201 = 4888^2 + 3149^2 .

It is not a de Polignac number, because 33808745 - 216 = 33743209 is a prime.

It is a super-3 number, since 3×338087453 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33808699 and 33808708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9515 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (3455467).

Almost surely, 233808745 is an apocalyptic number.

It is an amenable number.

33808745 is a deficient number, since it is larger than the sum of its proper divisors (7656859).

33808745 is an equidigital number, since it uses as much as digits as its factorization.

33808745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 33808745 is about 5814.5287857229. The cubic root of 33808745 is about 323.3525944762.

The spelling of 33808745 in words is "thirty-three million, eight hundred eight thousand, seven hundred forty-five".

Divisors: 1 5 47 235 2209 3061 11045 15305 143867 719335 6761749 33808745