Base | Representation |
---|---|
bin | 1010000100011… |
… | …1011110000000 |
3 | 2221110210121000 |
4 | 2201013132000 |
5 | 41303021101 |
6 | 4105132000 |
7 | 1021666242 |
oct | 241073600 |
9 | 87423530 |
10 | 42235776 |
11 | 21928400 |
12 | 1218a000 |
13 | 899a3ab |
14 | 5876092 |
15 | 3a94486 |
hex | 2847780 |
42235776 has 192 divisors, whose sum is σ = 138373200. Its totient is φ = 12672000.
The previous prime is 42235741. The next prime is 42235777. The reversal of 42235776 is 67753224.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 42235776.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42235777) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418126 + ... + 418226.
Almost surely, 242235776 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 42235776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69186600).
42235776 is an abundant number, since it is smaller than the sum of its proper divisors (96137424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42235776 is a wasteful number, since it uses less digits than its factorization.
42235776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 117 counting only the distinct ones).
The product of its digits is 70560, while the sum is 36.
The square root of 42235776 is about 6498.9057540481. The cubic root of 42235776 is about 348.2518984764.
It can be divided in two parts, 4223 and 5776, that added together give a palindrome (9999).
The spelling of 42235776 in words is "forty-two million, two hundred thirty-five thousand, seven hundred seventy-six".
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