| Base | Representation |
|---|---|
| bin | 11000101001110… |
| … | …110111101110000 |
| 3 | 1001211022101111210 |
| 4 | 120221312331300 |
| 5 | 1321342014344 |
| 6 | 105013240120 |
| 7 | 13151523234 |
| oct | 3051667560 |
| 9 | 1054271453 |
| 10 | 413626224 |
| 11 | 1a2532560 |
| 12 | b6633040 |
| 13 | 6790285b |
| 14 | 3cd105c4 |
| 15 | 264a5db9 |
| hex | 18a76f70 |
413626224 has 80 divisors (see below), whose sum is σ = 1176531840. Its totient is φ = 124174080.
The previous prime is 413626193. The next prime is 413626229. The reversal of 413626224 is 422626314.
It is a super-3 number, since 3×4136262243 (a number of 27 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 413626191 and 413626200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (413626229) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53959 + ... + 61145.
It is an arithmetic number, because the mean of its divisors is an integer number (14706648).
Almost surely, 2413626224 is an apocalyptic number.
413626224 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 413626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588265920).
413626224 is an abundant number, since it is smaller than the sum of its proper divisors (762905616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413626224 is a wasteful number, since it uses less digits than its factorization.
413626224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7318 (or 7312 counting only the distinct ones).
The product of its digits is 13824, while the sum is 30.
The square root of 413626224 is about 20337.8028311811. The cubic root of 413626224 is about 745.0796269409.
It can be divided in two parts, 41362 and 6224, that added together give a triangular number (47586 = T308).
The spelling of 413626224 in words is "four hundred thirteen million, six hundred twenty-six thousand, two hundred twenty-four".
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