Base | Representation |
---|---|
bin | 1001111000100… |
… | …10101010000010 |
3 | 12210000110112000 |
4 | 10330102222002 |
5 | 132211221142 |
6 | 12121044430 |
7 | 2024520360 |
oct | 474225202 |
9 | 183013460 |
10 | 82913922 |
11 | 42891503 |
12 | 23926716 |
13 | 142407c0 |
14 | b024630 |
15 | 742c14c |
hex | 4f12a82 |
82913922 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 21342528.
The previous prime is 82913903. The next prime is 82913923. The reversal of 82913922 is 22931928.
It is a super-2 number, since 2×829139222 = 13749436922844168, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (82913923) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230779 + ... + 231137.
It is an arithmetic number, because the mean of its divisors is an integer number (1814400).
Almost surely, 282913922 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82913922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).
82913922 is an abundant number, since it is smaller than the sum of its proper divisors (149329278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82913922 is a wasteful number, since it uses less digits than its factorization.
82913922 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 437 (or 431 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The square root of 82913922 is about 9105.7082096891. The cubic root of 82913922 is about 436.0562204808.
The spelling of 82913922 in words is "eighty-two million, nine hundred thirteen thousand, nine hundred twenty-two".
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