| Base | Representation |
|---|---|
| bin | 1000111111010001… |
| … | …1000001010100000 |
| 3 | 20020011020121121200 |
| 4 | 2033310120022200 |
| 5 | 14420143403402 |
| 6 | 1035232121200 |
| 7 | 113536035162 |
| oct | 21764301240 |
| 9 | 6204217550 |
| 10 | 2412872352 |
| 11 | 1029004790 |
| 12 | 574096200 |
| 13 | 2c5b74a27 |
| 14 | 18c650932 |
| 15 | e1c6a21c |
| hex | 8fd182a0 |
2412872352 has 288 divisors, whose sum is σ = 7849820160. Its totient is φ = 696384000.
The previous prime is 2412872311. The next prime is 2412872353. The reversal of 2412872352 is 2532782142.
2412872352 is a `hidden beast` number, since 2 + 412 + 8 + 7 + 235 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (53760) is a multiple of the sum of its prime factors (448).
It is not an unprimeable number, because it can be changed into a prime (2412872353) 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 47 ways as a sum of consecutive naturals, for example, 7758277 + ... + 7758587.
It is an arithmetic number, because the mean of its divisors is an integer number (27256320).
Almost surely, 22412872352 is an apocalyptic number.
2412872352 is a gapful number since it is divisible by the number (22) 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 2412872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924910080).
2412872352 is an abundant number, since it is smaller than the sum of its proper divisors (5436947808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2412872352 is a wasteful number, since it uses less digits than its factorization.
2412872352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 448 (or 437 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 2412872352 is about 49120.9970582846. The cubic root of 2412872352 is about 1341.2552935804.
The spelling of 2412872352 in words is "two billion, four hundred twelve million, eight hundred seventy-two thousand, three hundred fifty-two".
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