Base | Representation |
---|---|
bin | 1111101110101001110000 |
3 | 21202111000220 |
4 | 33232221300 |
5 | 2023420443 |
6 | 224213040 |
7 | 50022063 |
oct | 17565160 |
9 | 7674026 |
10 | 4123248 |
11 | 2366948 |
12 | 146a180 |
13 | b149bc |
14 | 7948da |
15 | 566a83 |
hex | 3eea70 |
4123248 has 80 divisors (see below), whose sum is σ = 11713536. Its totient is φ = 1244160.
The previous prime is 4123211. The next prime is 4123253. The reversal of 4123248 is 8423214.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 25215 + ... + 25377.
Almost surely, 24123248 is an apocalyptic number.
4123248 is a gapful number since it is divisible by the number (48) 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 4123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856768).
4123248 is an abundant number, since it is smaller than the sum of its proper divisors (7590288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4123248 is a wasteful number, since it uses less digits than its factorization.
4123248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 216 counting only the distinct ones).
The product of its digits is 1536, while the sum is 24.
The square root of 4123248 is about 2030.5782427673. The cubic root of 4123248 is about 160.3540078294.
It can be divided in two parts, 4123 and 248, that added together give a triangular number (4371 = T93).
The spelling of 4123248 in words is "four million, one hundred twenty-three thousand, two hundred forty-eight".
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