Base | Representation |
---|---|
bin | 11000010000100… |
… | …011001001000000 |
3 | 1001100211022021110 |
4 | 120100203021000 |
5 | 1313142211144 |
6 | 104215123320 |
7 | 13041240630 |
oct | 3020431100 |
9 | 1040738243 |
10 | 406991424 |
11 | 199810754 |
12 | b4373540 |
13 | 6641b938 |
14 | 3c0a46c0 |
15 | 25ae50b9 |
hex | 18423240 |
406991424 has 224 divisors, whose sum is σ = 1334292480. Its totient is φ = 106831872.
The previous prime is 406991369. The next prime is 406991437. The reversal of 406991424 is 424199604.
It is a tau number, because it is divible by the number of its divisors (224).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073667 + ... + 1074045.
Almost surely, 2406991424 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 406991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667146240).
406991424 is an abundant number, since it is smaller than the sum of its proper divisors (927301056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406991424 is a wasteful number, since it uses less digits than its factorization.
406991424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 465 (or 455 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 39.
The square root of 406991424 is about 20174.0284524435. The cubic root of 406991424 is about 741.0743003476.
The spelling of 406991424 in words is "four hundred six million, nine hundred ninety-one thousand, four hundred twenty-four".
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