Base | Representation |
---|---|
bin | 111110111010… |
… | …0100110101100 |
3 | 2022001201210221 |
4 | 1331310212230 |
5 | 31420432333 |
6 | 3134541124 |
7 | 550232500 |
oct | 175644654 |
9 | 68051727 |
10 | 32983468 |
11 | 17688a71 |
12 | b0677a4 |
13 | 6aaac5b |
14 | 4548300 |
15 | 2d67d2d |
hex | 1f749ac |
32983468 has 72 divisors (see below), whose sum is σ = 74980080. Its totient is φ = 12579840.
The previous prime is 32983463. The next prime is 32983471. The reversal of 32983468 is 86438923.
It is a super-2 number, since 2×329834682 = 2175818322614048, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (32983463) 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, 63048 + ... + 63568.
It is an arithmetic number, because the mean of its divisors is an integer number (1041390).
Almost surely, 232983468 is an apocalyptic number.
32983468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32983468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490040).
32983468 is an abundant number, since it is smaller than the sum of its proper divisors (41996612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32983468 is a wasteful number, since it uses less digits than its factorization.
32983468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 575 (or 566 counting only the distinct ones).
The product of its digits is 248832, while the sum is 43.
The square root of 32983468 is about 5743.1235403742. The cubic root of 32983468 is about 320.6998614693.
The spelling of 32983468 in words is "thirty-two million, nine hundred eighty-three thousand, four hundred sixty-eight".
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