| Base | Representation |
|---|---|
| bin | 1011100011000… |
| … | …0010100000000 |
| 3 | 10101010121202000 |
| 4 | 2320300110000 |
| 5 | 44344314014 |
| 6 | 4450024000 |
| 7 | 1125445200 |
| oct | 270602400 |
| 9 | 111117660 |
| 10 | 48432384 |
| 11 | 2537aa70 |
| 12 | 14278000 |
| 13 | a059a20 |
| 14 | 660a400 |
| 15 | 43ba509 |
| hex | 2e30500 |
48432384 has 432 divisors, whose sum is σ = 195733440. Its totient is φ = 11612160.
The previous prime is 48432383. The next prime is 48432401. The reversal of 48432384 is 48323484.
48432384 = 573 + 583 + ... + 1193.
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (73728) is a multiple of the sum of its prime divisors (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48432383) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725562 + ... + 3725574.
Almost surely, 248432384 is an apocalyptic number.
48432384 is a gapful number since it is divisible by the number (44) 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 48432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).
48432384 is an abundant number, since it is smaller than the sum of its proper divisors (147301056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48432384 is a wasteful number, since it uses less digits than its factorization.
48432384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63 (or 36 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 48432384 is about 6959.3378995419. The cubic root of 48432384 is about 364.5120997186.
Subtracting from 48432384 its reverse (48323484), we obtain a square (108900 = 3302).
It can be divided in two parts, 4843 and 2384, that added together give a palindrome (7227).
The spelling of 48432384 in words is "forty-eight million, four hundred thirty-two thousand, three hundred eighty-four".
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