| Base | Representation |
|---|---|
| bin | 1001011110100011… |
| … | …0000001000100000 |
| 3 | 20120022001202021100 |
| 4 | 2113220300020200 |
| 5 | 20202233330103 |
| 6 | 1100235354400 |
| 7 | 120021001416 |
| oct | 22750601040 |
| 9 | 6508052240 |
| 10 | 2544042528 |
| 11 | 1096055895 |
| 12 | 5abbb2a00 |
| 13 | 3170b0011 |
| 14 | 1a1c372b6 |
| 15 | ed52a5a3 |
| hex | 97a30220 |
2544042528 has 144 divisors (see below), whose sum is σ = 7581240576. Its totient is φ = 808220160.
The previous prime is 2544042521. The next prime is 2544042551. The reversal of 2544042528 is 8252404452.
2544042528 is a `hidden beast` number, since 2 + 54 + 40 + 42 + 528 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2544042492 and 2544042501.
It is not an unprimeable number, because it can be changed into a prime (2544042521) 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 23 ways as a sum of consecutive naturals, for example, 596050 + ... + 600302.
It is an arithmetic number, because the mean of its divisors is an integer number (52647504).
Almost surely, 22544042528 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 2544042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790620288).
2544042528 is an abundant number, since it is smaller than the sum of its proper divisors (5037198048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2544042528 is a wasteful number, since it uses less digits than its factorization.
2544042528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4367 (or 4356 counting only the distinct ones).
The product of its (nonzero) digits is 102400, while the sum is 36.
The square root of 2544042528 is about 50438.5024361350. The cubic root of 2544042528 is about 1365.1324461911.
The spelling of 2544042528 in words is "two billion, five hundred forty-four million, forty-two thousand, five hundred twenty-eight".
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