| Base | Representation |
|---|---|
| bin | 11000110100000… |
| … | …111011010010001 |
| 3 | 1002000100222212000 |
| 4 | 120310013122101 |
| 5 | 1323034040100 |
| 6 | 105151024213 |
| 7 | 13213422300 |
| oct | 3064073221 |
| 9 | 1060328760 |
| 10 | 416315025 |
| 11 | 1a3aa9705 |
| 12 | b750b069 |
| 13 | 68334669 |
| 14 | 3d410437 |
| 15 | 26837900 |
| hex | 18d07691 |
416315025 has 144 divisors (see below), whose sum is σ = 914316480. Its totient is φ = 185068800.
The previous prime is 416315021. The next prime is 416315041. The reversal of 416315025 is 520513614.
416315025 is a `hidden beast` number, since 4 + 1 + 631 + 5 + 0 + 25 = 666.
It is not a de Polignac number, because 416315025 - 22 = 416315021 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 416315025.
It is not an unprimeable number, because it can be changed into a prime (416315021) 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 143 ways as a sum of consecutive naturals, for example, 1355922 + ... + 1356228.
It is an arithmetic number, because the mean of its divisors is an integer number (6349420).
Almost surely, 2416315025 is an apocalyptic number.
416315025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
It is an amenable number.
416315025 is an abundant number, since it is smaller than the sum of its proper divisors (498001455).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
416315025 is a wasteful number, since it uses less digits than its factorization.
416315025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 381 (or 363 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 416315025 is about 20403.7992785657. The cubic root of 416315025 is about 746.6906188063.
Adding to 416315025 its reverse (520513614), we get a palindrome (936828639).
It can be divided in two parts, 41631 and 5025, that added together give a 6-th power (46656 = 66).
The spelling of 416315025 in words is "four hundred sixteen million, three hundred fifteen thousand, twenty-five".
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