Base | Representation |
---|---|
bin | 1010001110110… |
… | …1101100100100 |
3 | 2222202101120100 |
4 | 2203231230210 |
5 | 41441313034 |
6 | 4131504100 |
7 | 1030533261 |
oct | 243555444 |
9 | 88671510 |
10 | 42916644 |
11 | 22252a01 |
12 | 12458030 |
13 | 8b78284 |
14 | 59b2268 |
15 | 3b7b099 |
hex | 28edb24 |
42916644 has 72 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 13815360.
The previous prime is 42916637. The next prime is 42916663. The reversal of 42916644 is 44661924.
42916644 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 6 + 644 = 666.
42916644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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.
It is a junction number, because it is equal to n+sod(n) for n = 42916599 and 42916608.
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 23 ways as a sum of consecutive naturals, for example, 158229 + ... + 158499.
It is an arithmetic number, because the mean of its divisors is an integer number (1559376).
Almost surely, 242916644 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 42916644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).
42916644 is an abundant number, since it is smaller than the sum of its proper divisors (69358428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42916644 is a wasteful number, since it uses less digits than its factorization.
42916644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 412 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 42916644 is about 6551.0796056833. The cubic root of 42916644 is about 350.1132803387.
The spelling of 42916644 in words is "forty-two million, nine hundred sixteen thousand, six hundred forty-four".
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