Base | Representation |
---|---|
bin | 1010000010110… |
… | …11110010010000 |
3 | 12212112221210000 |
4 | 11001123302100 |
5 | 133032341112 |
6 | 12210010000 |
7 | 2042133621 |
oct | 501336220 |
9 | 185487700 |
10 | 84262032 |
11 | 43622348 |
12 | 24276900 |
13 | 145c32ba |
14 | b295a48 |
15 | 75e67dc |
hex | 505bc90 |
84262032 has 100 divisors (see below), whose sum is σ = 247265920. Its totient is φ = 27698112.
The previous prime is 84262027. The next prime is 84262043. The reversal of 84262032 is 23026248.
84262032 is a `hidden beast` number, since 8 + 4 + 2 + 620 + 32 = 666.
It is a super-3 number, since 3×842620323 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 84261987 and 84262005.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 101973 + ... + 102795.
Almost surely, 284262032 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 84262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123632960).
84262032 is an abundant number, since it is smaller than the sum of its proper divisors (163003888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84262032 is a wasteful number, since it uses less digits than its factorization.
84262032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 922 (or 907 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 84262032 is about 9179.4352767477. The cubic root of 84262032 is about 438.4068278635.
The spelling of 84262032 in words is "eighty-four million, two hundred sixty-two thousand, thirty-two".
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