Base | Representation |
---|---|
bin | 11001011001001… |
… | …101110100110000 |
3 | 1002200200002212101 |
4 | 121121031310300 |
5 | 1333031244444 |
6 | 110135310144 |
7 | 13362166642 |
oct | 3131156460 |
9 | 1080602771 |
10 | 426040624 |
11 | 1a9541699 |
12 | ba81b354 |
13 | 6a35b359 |
14 | 40822892 |
15 | 276093d4 |
hex | 1964dd30 |
426040624 has 40 divisors (see below), whose sum is σ = 862467120. Its totient is φ = 203616000.
The previous prime is 426040619. The next prime is 426040663.
426040624 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4260406242 = 363021226596618752, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 426040592 and 426040601.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42319 + ... + 51409.
It is an arithmetic number, because the mean of its divisors is an integer number (21561678).
Almost surely, 2426040624 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 426040624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431233560).
426040624 is an abundant number, since it is smaller than the sum of its proper divisors (436426496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426040624 is a wasteful number, since it uses less digits than its factorization.
426040624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9229 (or 9223 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
The square root of 426040624 is about 20640.7515367052. The cubic root of 426040624 is about 752.4604374295.
The spelling of 426040624 in words is "four hundred twenty-six million, forty thousand, six hundred twenty-four".
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