Base | Representation |
---|---|
bin | 111111101011… |
… | …0000111111100 |
3 | 2022211000202000 |
4 | 1333112013330 |
5 | 32021223113 |
6 | 3151302300 |
7 | 553515156 |
oct | 177260774 |
9 | 68730660 |
10 | 33382908 |
11 | 17931089 |
12 | b21a990 |
13 | 6bbaa00 |
14 | 460dad6 |
15 | 2de6373 |
hex | 1fd61fc |
33382908 has 144 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 9771840.
The previous prime is 33382907. The next prime is 33382931. The reversal of 33382908 is 80928333.
It is a super-2 number, since 2×333829082 = 2228837093072928, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33382903) 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 47 ways as a sum of consecutive naturals, for example, 565783 + ... + 565841.
It is an arithmetic number, because the mean of its divisors is an integer number (683200).
Almost surely, 233382908 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33382908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190400).
33382908 is an abundant number, since it is smaller than the sum of its proper divisors (64997892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33382908 is a wasteful number, since it uses less digits than its factorization.
33382908 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 33382908 is about 5777.7943888650. The cubic root of 33382908 is about 321.9892618874.
The spelling of 33382908 in words is "thirty-three million, three hundred eighty-two thousand, nine hundred eight".
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