Base | Representation |
---|---|
bin | 1010000110011… |
… | …0101111011000 |
3 | 2221201022022000 |
4 | 2201212233120 |
5 | 41321120424 |
6 | 4112001000 |
7 | 1023041544 |
oct | 241465730 |
9 | 87638260 |
10 | 42363864 |
11 | 21a05664 |
12 | 12230160 |
13 | 8a1379a |
14 | 58aaa24 |
15 | 3abc3c9 |
hex | 2866bd8 |
42363864 has 128 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 13036032.
The previous prime is 42363859. The next prime is 42363869. The reversal of 42363864 is 46836324.
It is a happy number.
42363864 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 (42363859) and next prime (42363869).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (42363869) 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 31 ways as a sum of consecutive naturals, for example, 304707 + ... + 304845.
It is an arithmetic number, because the mean of its divisors is an integer number (992250).
Almost surely, 242363864 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 42363864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).
42363864 is an abundant number, since it is smaller than the sum of its proper divisors (84644136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42363864 is a wasteful number, since it uses less digits than its factorization.
42363864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 244 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 42363864 is about 6508.7528759356. The cubic root of 42363864 is about 348.6035898327.
It can be divided in two parts, 4236 and 3864, that added together give a square (8100 = 902).
The spelling of 42363864 in words is "forty-two million, three hundred sixty-three thousand, eight hundred sixty-four".
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