Base | Representation |
---|---|
bin | 11001100101101… |
… | …001000100000000 |
3 | 1002220210121000222 |
4 | 121211221010000 |
5 | 1334400013140 |
6 | 110333202212 |
7 | 13431654302 |
oct | 3145510400 |
9 | 1086717028 |
10 | 429297920 |
11 | 200366977 |
12 | bb930368 |
13 | 6ac2bb4c |
14 | 4102d972 |
15 | 27a4e5b5 |
hex | 19969100 |
429297920 has 108 divisors (see below), whose sum is σ = 1065588300. Its totient is φ = 165703680.
The previous prime is 429297919. The next prime is 429297937. The reversal of 429297920 is 29792924.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 236421376 + 192876544 = 15376^2 + 13888^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229906 + ... + 1230254.
Almost surely, 2429297920 is an apocalyptic number.
429297920 is a gapful number since it is divisible by the number (40) 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 429297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532794150).
429297920 is an abundant number, since it is smaller than the sum of its proper divisors (636290380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429297920 is an equidigital number, since it uses as much as digits as its factorization.
429297920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 432 (or 387 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 44.
The square root of 429297920 is about 20719.5057856118. The cubic root of 429297920 is about 754.3732177990.
The spelling of 429297920 in words is "four hundred twenty-nine million, two hundred ninety-seven thousand, nine hundred twenty".
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