Base | Representation |
---|---|
bin | 1010001101101… |
… | …0010001101110 |
3 | 2222121100110100 |
4 | 2203122101232 |
5 | 41431241402 |
6 | 4130051530 |
7 | 1030052340 |
oct | 243322156 |
9 | 88540410 |
10 | 42837102 |
11 | 221a9170 |
12 | 12419ba6 |
13 | 8b4acc9 |
14 | 5991290 |
15 | 3b6271c |
hex | 28da46e |
42837102 has 96 divisors (see below), whose sum is σ = 119568384. Its totient is φ = 10756800.
The previous prime is 42837101. The next prime is 42837103. The reversal of 42837102 is 20173824.
42837102 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 (42837101) and next prime (42837103).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42837101) 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 47 ways as a sum of consecutive naturals, for example, 42468 + ... + 43464.
It is an arithmetic number, because the mean of its divisors is an integer number (1245504).
Almost surely, 242837102 is an apocalyptic number.
42837102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 42837102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59784192).
42837102 is an abundant number, since it is smaller than the sum of its proper divisors (76731282).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42837102 is a wasteful number, since it uses less digits than its factorization.
42837102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 42837102 is about 6545.0058823503. The cubic root of 42837102 is about 349.8968457912.
Subtracting from 42837102 its reverse (20173824), we obtain a triangular number (22663278 = T6732).
The spelling of 42837102 in words is "forty-two million, eight hundred thirty-seven thousand, one hundred two".
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