| Base | Representation |
|---|---|
| bin | 1001000110111… |
| … | …10010101000000 |
| 3 | 12022202221020200 |
| 4 | 10203132111000 |
| 5 | 124030030003 |
| 6 | 11325405200 |
| 7 | 1615313136 |
| oct | 443362500 |
| 9 | 168687220 |
| 10 | 76408128 |
| 11 | 3a148615 |
| 12 | 21709800 |
| 13 | 12aa3514 |
| 14 | a20d756 |
| 15 | 6a946a3 |
| hex | 48de540 |
76408128 has 84 divisors (see below), whose sum is σ = 221200980. Its totient is φ = 25214976.
The previous prime is 76408109. The next prime is 76408147. The reversal of 76408128 is 82180467.
76408128 is a `hidden beast` number, since 7 + 640 + 8 + 1 + 2 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (76408109) and next prime (76408147).
It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 36869184 = 6288^2 + 6072^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 76408092 and 76408101.
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 62176 + ... + 63392.
It is an arithmetic number, because the mean of its divisors is an integer number (2633345).
Almost surely, 276408128 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 76408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110600490).
76408128 is an abundant number, since it is smaller than the sum of its proper divisors (144792852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76408128 is a wasteful number, since it uses less digits than its factorization.
76408128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 76408128 is about 8741.1742918214. The cubic root of 76408128 is about 424.3392324909.
The spelling of 76408128 in words is "seventy-six million, four hundred eight thousand, one hundred twenty-eight".
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