Base | Representation |
---|---|
bin | 1001011101000000100000 |
3 | 11122220022221 |
4 | 21131000200 |
5 | 1113244422 |
6 | 125040424 |
7 | 30030550 |
oct | 11350040 |
9 | 4586287 |
10 | 2478112 |
11 | 144292a |
12 | 9b6114 |
13 | 689c50 |
14 | 487160 |
15 | 33e3c7 |
hex | 25d020 |
2478112 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 912384.
The previous prime is 2478101. The next prime is 2478173. The reversal of 2478112 is 2118742.
It is a happy number.
It is a super-2 number, since 2×24781122 = 12282078169088, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66958 + ... + 66994.
It is an arithmetic number, because the mean of its divisors is an integer number (67032).
22478112 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 2478112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).
2478112 is an abundant number, since it is smaller than the sum of its proper divisors (3956960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2478112 is a wasteful number, since it uses less digits than its factorization.
2478112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 82 counting only the distinct ones).
The product of its digits is 896, while the sum is 25.
The square root of 2478112 is about 1574.2020200724. The cubic root of 2478112 is about 135.3236314129.
The spelling of 2478112 in words is "two million, four hundred seventy-eight thousand, one hundred twelve".
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