| Base | Representation |
|---|---|
| bin | 1011100001001… |
| … | …0011001010000 |
| 3 | 10100220101122100 |
| 4 | 2320102121100 |
| 5 | 44331403330 |
| 6 | 4443240400 |
| 7 | 1124425005 |
| oct | 270223120 |
| 9 | 110811570 |
| 10 | 48309840 |
| 11 | 252a6997 |
| 12 | 14219100 |
| 13 | a016007 |
| 14 | 65b78ac |
| 15 | 4394060 |
| hex | 2e12650 |
48309840 has 120 divisors (see below), whose sum is σ = 163505160. Its totient is φ = 12782592.
The previous prime is 48309829. The next prime is 48309851. The reversal of 48309840 is 4890384.
It is an interprime number because it is at equal distance from previous prime (48309829) and next prime (48309851).
It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 20684304 = 5256^2 + 4548^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 48309795 and 48309804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164734 + ... + 165026.
It is an arithmetic number, because the mean of its divisors is an integer number (1362543).
Almost surely, 248309840 is an apocalyptic number.
48309840 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 48309840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81752580).
48309840 is an abundant number, since it is smaller than the sum of its proper divisors (115195320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48309840 is a wasteful number, since it uses less digits than its factorization.
48309840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 541 (or 532 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 48309840 is about 6950.5280374947. The cubic root of 48309840 is about 364.2044096026.
The spelling of 48309840 in words is "forty-eight million, three hundred nine thousand, eight hundred forty".
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