| Base | Representation |
|---|---|
| bin | 11010101000001… |
| … | …000011111000000 |
| 3 | 1011010121010210020 |
| 4 | 122220020133000 |
| 5 | 1403330300003 |
| 6 | 112154533440 |
| 7 | 14033061240 |
| oct | 3250103700 |
| 9 | 1133533706 |
| 10 | 446728128 |
| 11 | 20a191500 |
| 12 | 105737280 |
| 13 | 71722692 |
| 14 | 43489b20 |
| 15 | 29343d53 |
| hex | 1aa087c0 |
446728128 has 336 divisors, whose sum is σ = 1543702272. Its totient is φ = 111513600.
The previous prime is 446728127. The next prime is 446728141. The reversal of 446728128 is 821827644.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 446728128.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (446728127) 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 47 ways as a sum of consecutive naturals, for example, 6667551 + ... + 6667617.
It is an arithmetic number, because the mean of its divisors is an integer number (4594352).
Almost surely, 2446728128 is an apocalyptic number.
446728128 is a gapful number since it is divisible by the number (48) 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 446728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771851136).
446728128 is an abundant number, since it is smaller than the sum of its proper divisors (1096974144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
446728128 is a wasteful number, since it uses less digits than its factorization.
446728128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 131 counting only the distinct ones).
The product of its digits is 172032, while the sum is 42.
The square root of 446728128 is about 21135.9439817577. The cubic root of 446728128 is about 764.4476785613.
The spelling of 446728128 in words is "four hundred forty-six million, seven hundred twenty-eight thousand, one hundred twenty-eight".
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