| Base | Representation |
|---|---|
| bin | 11001100101110… |
| … | …110000001001001 |
| 3 | 1002220220021211100 |
| 4 | 121211312001021 |
| 5 | 1334403212420 |
| 6 | 110334252013 |
| 7 | 13432265100 |
| oct | 3145660111 |
| 9 | 1086807740 |
| 10 | 429350985 |
| 11 | 2003a2828 |
| 12 | bb957009 |
| 13 | 6ac4a04b |
| 14 | 41045037 |
| 15 | 27a60190 |
| hex | 19976049 |
429350985 has 36 divisors (see below), whose sum is σ = 865716228. Its totient is φ = 196273728.
The previous prime is 429350983. The next prime is 429350989. The reversal of 429350985 is 589053924.
It can be written as a sum of positive squares in 2 ways, for example, as 124813584 + 304537401 = 11172^2 + 17451^2 .
It is not a de Polignac number, because 429350985 - 21 = 429350983 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 429350985.
It is not an unprimeable number, because it can be changed into a prime (429350983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95154 + ... + 99563.
It is an arithmetic number, because the mean of its divisors is an integer number (24047673).
Almost surely, 2429350985 is an apocalyptic number.
429350985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
It is an amenable number.
429350985 is an abundant number, since it is smaller than the sum of its proper divisors (436365243).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429350985 is a wasteful number, since it uses less digits than its factorization.
429350985 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194742 (or 194732 counting only the distinct ones).
The product of its (nonzero) digits is 388800, while the sum is 45.
The square root of 429350985 is about 20720.7863026479. The cubic root of 429350985 is about 754.4042989073.
It can be divided in two parts, 4293 and 50985, that added together give a triangular number (55278 = T332).
The spelling of 429350985 in words is "four hundred twenty-nine million, three hundred fifty thousand, nine hundred eighty-five".
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