Base | Representation |
---|---|
bin | 11001010001110… |
… | …001110101000000 |
3 | 1002120000001102000 |
4 | 121101301311000 |
5 | 1332031402234 |
6 | 110025424000 |
7 | 13336466514 |
oct | 3121616500 |
9 | 1076001360 |
10 | 424090944 |
11 | 1a842a892 |
12 | ba03b000 |
13 | 69b27ab4 |
14 | 40476144 |
15 | 27371899 |
hex | 19471d40 |
424090944 has 112 divisors (see below), whose sum is σ = 1312468800. Its totient is φ = 133913088.
The previous prime is 424090937. The next prime is 424090949. The reversal of 424090944 is 449090424.
It is a happy number.
It is a super-2 number, since 2×4240909442 = 359706257565622272, which contains 22 as substring.
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 = 424090899 and 424090908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424090949) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26374 + ... + 39290.
Almost surely, 2424090944 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 424090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656234400).
424090944 is an abundant number, since it is smaller than the sum of its proper divisors (888377856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424090944 is a wasteful number, since it uses less digits than its factorization.
424090944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12957 (or 12941 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 424090944 is about 20593.4684791076. The cubic root of 424090944 is about 751.3108595282.
The spelling of 424090944 in words is "four hundred twenty-four million, ninety thousand, nine hundred forty-four".
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