| Base | Representation |
|---|---|
| bin | 111101001010000… |
| … | …0101101010000000 |
| 3 | 12022000100210100000 |
| 4 | 1322110011222000 |
| 5 | 13200313231100 |
| 6 | 535343200000 |
| 7 | 101565306120 |
| oct | 17224055200 |
| 9 | 5260323300 |
| 10 | 2052086400 |
| 11 | 963392981 |
| 12 | 4932a6000 |
| 13 | 2691b3310 |
| 14 | 156776c80 |
| 15 | c0250900 |
| hex | 7a505a80 |
2052086400 has 1152 divisors, whose sum is σ = 9668131200. Its totient is φ = 418037760.
The previous prime is 2052086389. The next prime is 2052086401. The reversal of 2052086400 is 46802502.
2052086400 is a `hidden beast` number, since 20 + 520 + 86 + 40 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×20520864002 = 8422117186129920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2052086401) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761586 + ... + 70761614.
It is an arithmetic number, because the mean of its divisors is an integer number (8392475).
Almost surely, 22052086400 is an apocalyptic number.
2052086400 is a gapful number since it is divisible by the number (20) 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 2052086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834065600).
2052086400 is an abundant number, since it is smaller than the sum of its proper divisors (7616044800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2052086400 is a wasteful number, since it uses less digits than its factorization.
2052086400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 88 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 2052086400 is about 45299.9602648832. The cubic root of 2052086400 is about 1270.7649100728.
Adding to 2052086400 its reverse (46802502), we get a palindrome (2098888902).
The spelling of 2052086400 in words is "two billion, fifty-two million, eighty-six thousand, four hundred".
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