Search a number
-
+
33353045 = 5112291901
BaseRepresentation
bin111111100111…
…0110101010101
32022202111202222
41333032311111
532014244140
63150512125
7553332125
oct177166525
968674688
1033353045
1117910700
12b205645
136baa23b
144602c85
152ddc5b5
hex1fced55

33353045 has 24 divisors (see below), whose sum is σ = 45533880. Its totient is φ = 23408000.

The previous prime is 33353039. The next prime is 33353057. The reversal of 33353045 is 54035333.

It can be written as a sum of positive squares in 4 ways, for example, as 256036 + 33097009 = 506^2 + 5753^2 .

It is not a de Polignac number, because 33353045 - 24 = 33353029 is a prime.

It is a super-2 number, since 2×333530452 = 2224851221544050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16595 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (1897245).

Almost surely, 233353045 is an apocalyptic number.

It is an amenable number.

33353045 is a deficient number, since it is larger than the sum of its proper divisors (12180835).

33353045 is a wasteful number, since it uses less digits than its factorization.

33353045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 26.

The square root of 33353045 is about 5775.2095200088. The cubic root of 33353045 is about 321.8932203844.

Adding to 33353045 its reverse (54035333), we get a palindrome (87388378).

The spelling of 33353045 in words is "thirty-three million, three hundred fifty-three thousand, forty-five".

Divisors: 1 5 11 29 55 121 145 319 605 1595 1901 3509 9505 17545 20911 55129 104555 230021 275645 606419 1150105 3032095 6670609 33353045