Base | Representation |
---|---|
bin | 1001111100101… |
… | …01011111110010 |
3 | 12211000200122220 |
4 | 10332111133302 |
5 | 132330343332 |
6 | 12140341510 |
7 | 2032212000 |
oct | 476253762 |
9 | 184020586 |
10 | 83449842 |
11 | 43118113 |
12 | 23b44896 |
13 | 1439a708 |
14 | b123a70 |
15 | 74d5d2c |
hex | 4f957f2 |
83449842 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 21732480.
The previous prime is 83449831. The next prime is 83449859. The reversal of 83449842 is 24894438.
It is a super-2 number, since 2×834498422 = 13927752259649928, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 83449794 and 83449803.
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 63 ways as a sum of consecutive naturals, for example, 1940673 + ... + 1940715.
It is an arithmetic number, because the mean of its divisors is an integer number (1663200).
Almost surely, 283449842 is an apocalyptic number.
83449842 is a gapful number since it is divisible by the number (82) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 83449842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).
83449842 is an abundant number, since it is smaller than the sum of its proper divisors (129439758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83449842 is a wasteful number, since it uses less digits than its factorization.
83449842 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 119 counting only the distinct ones).
The product of its digits is 221184, while the sum is 42.
The square root of 83449842 is about 9135.0885053184. The cubic root of 83449842 is about 436.9936969664.
The spelling of 83449842 in words is "eighty-three million, four hundred forty-nine thousand, eight hundred forty-two".
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