| Base | Representation |
|---|---|
| bin | 111011001010001… |
| … | …101111110000000 |
| 3 | 2120011121222020100 |
| 4 | 323022031332000 |
| 5 | 4013042100100 |
| 6 | 242253242400 |
| 7 | 33411255204 |
| oct | 7312157600 |
| 9 | 2504558210 |
| 10 | 992534400 |
| 11 | 46a294870 |
| 12 | 238493400 |
| 13 | 12a825080 |
| 14 | 95b66b04 |
| 15 | 5c209400 |
| hex | 3b28df80 |
992534400 has 576 divisors, whose sum is σ = 4178013840. Its totient is φ = 221184000.
The previous prime is 992534393. The next prime is 992534401. The reversal of 992534400 is 4435299.
992534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×9925344003 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (992534401) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118280 + ... + 4118520.
Almost surely, 2992534400 is an apocalyptic number.
992534400 is a gapful number since it is divisible by the number (90) 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 992534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089006920).
992534400 is an abundant number, since it is smaller than the sum of its proper divisors (3185479440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
992534400 is a wasteful number, since it uses less digits than its factorization.
992534400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 295 (or 275 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 992534400 is about 31504.5139622880. The cubic root of 992534400 is about 997.5052480550.
Adding to 992534400 its reverse (4435299), we get a palindrome (996969699).
It can be divided in two parts, 99 and 2534400, that multiplied together give a square (250905600 = 158402).
The spelling of 992534400 in words is "nine hundred ninety-two million, five hundred thirty-four thousand, four hundred".
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