| Base | Representation |
|---|---|
| bin | 1011101001010… |
| … | …0111001110000 |
| 3 | 10101220112220212 |
| 4 | 2322110321300 |
| 5 | 100001010100 |
| 6 | 4502523252 |
| 7 | 1132112333 |
| oct | 272247160 |
| 9 | 111815825 |
| 10 | 48844400 |
| 11 | 25631580 |
| 12 | 14436528 |
| 13 | a172417 |
| 14 | 66b661a |
| 15 | 444c635 |
| hex | 2e94e70 |
48844400 has 120 divisors (see below), whose sum is σ = 135754704. Its totient is φ = 16691200.
The previous prime is 48844391. The next prime is 48844409. The reversal of 48844400 is 444884.
It is a happy number.
48844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (48844391) and next prime (48844409).
It is a super-2 number, since 2×488444002 = 4771550822720000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48844409) 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 23 ways as a sum of consecutive naturals, for example, 74474 + ... + 75126.
Almost surely, 248844400 is an apocalyptic number.
48844400 is a gapful number since it is divisible by the number (40) 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 48844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67877352).
48844400 is an abundant number, since it is smaller than the sum of its proper divisors (86910304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48844400 is a wasteful number, since it uses less digits than its factorization.
48844400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 699 (or 688 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 32.
The square root of 48844400 is about 6988.8768768666. The cubic root of 48844400 is about 365.5428215240.
It can be divided in two parts, 48 and 844400, that added together give a palindrome (844448).
The spelling of 48844400 in words is "forty-eight million, eight hundred forty-four thousand, four hundred".
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