| Base | Representation |
|---|---|
| bin | 11101100111001… |
| … | …00100010000000 |
| 3 | 122022102000202000 |
| 4 | 32303210202000 |
| 5 | 1002042300000 |
| 6 | 40352024000 |
| 7 | 6104236152 |
| oct | 1663444200 |
| 9 | 568360660 |
| 10 | 248400000 |
| 11 | 118240662 |
| 12 | 6b232000 |
| 13 | 3c602364 |
| 14 | 24dc0ad2 |
| 15 | 16c1a000 |
| hex | ece4880 |
248400000 has 384 divisors, whose sum is σ = 956188800. Its totient is φ = 63360000.
The previous prime is 248399999. The next prime is 248400001. The reversal of 248400000 is 4842.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (248399999) and next prime (248400001).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (248400001) 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 47 ways as a sum of consecutive naturals, for example, 10799989 + ... + 10800011.
It is an arithmetic number, because the mean of its divisors is an integer number (2490075).
Almost surely, 2248400000 is an apocalyptic number.
248400000 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 248400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).
248400000 is an abundant number, since it is smaller than the sum of its proper divisors (707788800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248400000 is an frugal number, since it uses more digits than its factorization.
248400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 248400000 is about 15760.7106438764. The cubic root of 248400000 is about 628.6137319030.
Adding to 248400000 its reverse (4842), we get a palindrome (248404842).
The spelling of 248400000 in words is "two hundred forty-eight million, four hundred thousand".
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