| Base | Representation |
|---|---|
| bin | 11111101010101… |
| … | …000001101000000 |
| 3 | 1101000200020021000 |
| 4 | 133222220031000 |
| 5 | 2042001042131 |
| 6 | 124414532000 |
| 7 | 16110464340 |
| oct | 3752501500 |
| 9 | 1330606230 |
| 10 | 531268416 |
| 11 | 252983908 |
| 12 | 129b07000 |
| 13 | 860b2513 |
| 14 | 507b4d20 |
| 15 | 31992ce6 |
| hex | 1faa8340 |
531268416 has 224 divisors, whose sum is σ = 1802465280. Its totient is φ = 150308352.
The previous prime is 531268379. The next prime is 531268417. The reversal of 531268416 is 614862135.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-2 number, since 2×5312684162 = 564492259678298112, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (531268417) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019901 + ... + 2020163.
It is an arithmetic number, because the mean of its divisors is an integer number (8046720).
Almost surely, 2531268416 is an apocalyptic number.
531268416 is a gapful number since it is divisible by the number (56) 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 531268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901232640).
531268416 is an abundant number, since it is smaller than the sum of its proper divisors (1271196864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
531268416 is a wasteful number, since it uses less digits than its factorization.
531268416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 458 (or 442 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 531268416 is about 23049.2606389012. The cubic root of 531268416 is about 809.9123087510.
The spelling of 531268416 in words is "five hundred thirty-one million, two hundred sixty-eight thousand, four hundred sixteen".
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