| Base | Representation |
|---|---|
| bin | 1001101100101001… |
| … | …10110000000000000 |
| 3 | 111102211202120112120 |
| 4 | 10312110312000000 |
| 5 | 41130314313044 |
| 6 | 2220343124240 |
| 7 | 243006451506 |
| oct | 46624660000 |
| 9 | 14384676476 |
| 10 | 5206401024 |
| 11 | 2231972170 |
| 12 | 1013743680 |
| 13 | 64c847586 |
| 14 | 37566c676 |
| 15 | 207127519 |
| hex | 136536000 |
5206401024 has 112 divisors (see below), whose sum is σ = 15145755840. Its totient is φ = 1577615360.
The previous prime is 5206401019. The next prime is 5206401029. The reversal of 5206401024 is 4201046025.
It is an interprime number because it is at equal distance from previous prime (5206401019) and next prime (5206401029).
It is a super-2 number, since 2×52064010242 = 54213223245416497152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 5206400985 and 5206401003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5206401029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260707 + ... + 279965.
Almost surely, 25206401024 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 5206401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572877920).
5206401024 is an abundant number, since it is smaller than the sum of its proper divisors (9939354816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5206401024 is a wasteful number, since it uses less digits than its factorization.
5206401024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19299 (or 19275 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The square root of 5206401024 is about 72155.3949750121. The cubic root of 5206401024 is about 1733.1887932070.
Adding to 5206401024 its reverse (4201046025), we get a palindrome (9407447049).
The spelling of 5206401024 in words is "five billion, two hundred six million, four hundred one thousand, twenty-four".
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