Base | Representation |
---|---|
bin | 11001010001110… |
… | …100000010100000 |
3 | 1002120000111211102 |
4 | 121101310002200 |
5 | 1332032200000 |
6 | 110025533532 |
7 | 13336535102 |
oct | 3121640240 |
9 | 1076014742 |
10 | 424100000 |
11 | 1a8436675 |
12 | ba0442a8 |
13 | 69b2bc5c |
14 | 40479572 |
15 | 273743d5 |
hex | 194740a0 |
424100000 has 72 divisors (see below), whose sum is σ = 1043862876. Its totient is φ = 169600000.
The previous prime is 424099987. The next prime is 424100021. The reversal of 424100000 is 1424.
It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 423865744 = 484^2 + 20588^2 .
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, 97880 + ... + 102120.
Almost surely, 2424100000 is an apocalyptic number.
424100000 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 424100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521931438).
424100000 is an abundant number, since it is smaller than the sum of its proper divisors (619762876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424100000 is an frugal number, since it uses more digits than its factorization.
424100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4276 (or 4248 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 424100000 is about 20593.6883534737. The cubic root of 424100000 is about 751.3162072984.
Adding to 424100000 its reverse (1424), we get a palindrome (424101424).
The spelling of 424100000 in words is "four hundred twenty-four million, one hundred thousand".
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