Base | Representation |
---|---|
bin | 11001010011000… |
… | …011010000000000 |
3 | 1002120121222220000 |
4 | 121103003100000 |
5 | 1332123040243 |
6 | 110040520000 |
7 | 13342356030 |
oct | 3123032000 |
9 | 1076558800 |
10 | 424424448 |
11 | 1a8638408 |
12 | ba180000 |
13 | 69c13836 |
14 | 405218c0 |
15 | 273da5d3 |
hex | 194c3400 |
424424448 has 440 divisors, whose sum is σ = 1569344832. Its totient is φ = 111476736.
The previous prime is 424424443. The next prime is 424424459. The reversal of 424424448 is 844424424.
It is a super-2 number, since 2×4244244482 = 360272224120209408, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424424443) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9870315 + ... + 9870357.
Almost surely, 2424424448 is an apocalyptic number.
424424448 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 424424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784672416).
424424448 is an abundant number, since it is smaller than the sum of its proper divisors (1144920384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424424448 is a wasteful number, since it uses less digits than its factorization.
424424448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 72 counting only the distinct ones).
The product of its digits is 131072, while the sum is 36.
The square root of 424424448 is about 20601.5642124573. The cubic root of 424424448 is about 751.5077508852.
The spelling of 424424448 in words is "four hundred twenty-four million, four hundred twenty-four thousand, four hundred forty-eight".
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