Base | Representation |
---|---|
bin | 1011011101101… |
… | …1000100010100 |
3 | 10100110212210000 |
4 | 2313123010110 |
5 | 44302130340 |
6 | 4434331300 |
7 | 1122462213 |
oct | 267330424 |
9 | 110425700 |
10 | 48083220 |
11 | 251616a9 |
12 | 14129b30 |
13 | 9c66b13 |
14 | 655907a |
15 | 434bd30 |
hex | 2ddb114 |
48083220 has 120 divisors (see below), whose sum is σ = 153435744. Its totient is φ = 12602304.
The previous prime is 48083219. The next prime is 48083221. The reversal of 48083220 is 2238084.
48083220 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 (48083219) and next prime (48083221).
It is a super-3 number, since 3×480832203 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48083221) 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 39 ways as a sum of consecutive naturals, for example, 108319 + ... + 108761.
Almost surely, 248083220 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48083220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76717872).
48083220 is an abundant number, since it is smaller than the sum of its proper divisors (105352524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48083220 is a wasteful number, since it uses less digits than its factorization.
48083220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 531 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 48083220 is about 6934.2065155287. The cubic root of 48083220 is about 363.6340261592.
The spelling of 48083220 in words is "forty-eight million, eighty-three thousand, two hundred twenty".
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