Base | Representation |
---|---|
bin | 11001010001101… |
… | …001011110101000 |
3 | 1002112221022111100 |
4 | 121101221132220 |
5 | 1332024303434 |
6 | 110025001400 |
7 | 13336265016 |
oct | 3121513650 |
9 | 1075838440 |
10 | 424056744 |
11 | 1a8407121 |
12 | ba023260 |
13 | 69b15367 |
14 | 404678b6 |
15 | 27366699 |
hex | 194697a8 |
424056744 has 96 divisors (see below), whose sum is σ = 1214928000. Its totient is φ = 133249536.
The previous prime is 424056739. The next prime is 424056749. The reversal of 424056744 is 447650424.
It is an interprime number because it is at equal distance from previous prime (424056739) and next prime (424056749).
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 = 424056699 and 424056708.
It is not an unprimeable number, because it can be changed into a prime (424056749) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326304 + ... + 327600.
It is an arithmetic number, because the mean of its divisors is an integer number (12655500).
Almost surely, 2424056744 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 424056744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607464000).
424056744 is an abundant number, since it is smaller than the sum of its proper divisors (790871256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424056744 is a wasteful number, since it uses less digits than its factorization.
424056744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).
The product of its (nonzero) digits is 107520, while the sum is 36.
The square root of 424056744 is about 20592.6381020014. The cubic root of 424056744 is about 751.2906629780.
The spelling of 424056744 in words is "four hundred twenty-four million, fifty-six thousand, seven hundred forty-four".
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