Base | Representation |
---|---|
bin | 111111110101… |
… | …0011001010110 |
3 | 2022222020122100 |
4 | 1333222121112 |
5 | 32031402232 |
6 | 3153142530 |
7 | 554312226 |
oct | 177523126 |
9 | 68866570 |
10 | 33465942 |
11 | 17988504 |
12 | b25aa46 |
13 | 6c19743 |
14 | 4632086 |
15 | 2e10c7c |
hex | 1fea656 |
33465942 has 48 divisors (see below), whose sum is σ = 76312080. Its totient is φ = 10584000.
The previous prime is 33465941. The next prime is 33465947. The reversal of 33465942 is 24956433.
It is a super-2 number, since 2×334659422 = 2239938547894728, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 33465897 and 33465906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33465941) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31317 + ... + 32367.
It is an arithmetic number, because the mean of its divisors is an integer number (1589835).
Almost surely, 233465942 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33465942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38156040).
33465942 is an abundant number, since it is smaller than the sum of its proper divisors (42846138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33465942 is a wasteful number, since it uses less digits than its factorization.
33465942 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1149 (or 1146 counting only the distinct ones).
The product of its digits is 77760, while the sum is 36.
The square root of 33465942 is about 5784.9755401384. The cubic root of 33465942 is about 322.2560043764.
The spelling of 33465942 in words is "thirty-three million, four hundred sixty-five thousand, nine hundred forty-two".
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