Base | Representation |
---|---|
bin | 1100010001111111000 |
3 | 202110000121 |
4 | 1202033320 |
5 | 100334144 |
6 | 12343024 |
7 | 3264151 |
oct | 1421770 |
9 | 673017 |
10 | 402424 |
11 | 255390 |
12 | 174a74 |
13 | 111229 |
14 | a6928 |
15 | 7e384 |
hex | 623f8 |
402424 has 32 divisors (see below), whose sum is σ = 874800. Its totient is φ = 171520.
The previous prime is 402419. The next prime is 402443. The reversal of 402424 is 424204.
It is an Ulam number.
402424 is a modest number, since divided by 2424 gives 40 as remainder.
It is a plaindrome in base 13.
It is a junction number, because it is equal to n+sod(n) for n = 402398 and 402407.
It is a congruent number.
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, 1362 + ... + 1630.
2402424 is an apocalyptic number.
402424 is a gapful number since it is divisible by the number (44) 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 402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400).
402424 is an abundant number, since it is smaller than the sum of its proper divisors (472376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402424 is a wasteful number, since it uses less digits than its factorization.
402424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 303 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 402424 is about 634.3689778039. The cubic root of 402424 is about 73.8291652070.
Adding to 402424 its reverse (424204), we get a palindrome (826628).
The spelling of 402424 in words is "four hundred two thousand, four hundred twenty-four", and thus it is an iban number.
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