Base | Representation |
---|---|
bin | 1010000111000… |
… | …1010011100000 |
3 | 2221210111122200 |
4 | 2201301103200 |
5 | 41324012021 |
6 | 4112533200 |
7 | 1023311652 |
oct | 241612340 |
9 | 87714580 |
10 | 42407136 |
11 | 21a35122 |
12 | 12251200 |
13 | 8a2a3a5 |
14 | 58bc6d2 |
15 | 3aca126 |
hex | 28714e0 |
42407136 has 72 divisors (see below), whose sum is σ = 121310280. Its totient is φ = 14052096.
The previous prime is 42407119. The next prime is 42407137. The reversal of 42407136 is 63170424.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42407137) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65631 + ... + 66273.
It is an arithmetic number, because the mean of its divisors is an integer number (1684865).
Almost surely, 242407136 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 42407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60655140).
42407136 is an abundant number, since it is smaller than the sum of its proper divisors (78903144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42407136 is a wasteful number, since it uses less digits than its factorization.
42407136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 888 (or 877 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 42407136 is about 6512.0761666307. The cubic root of 42407136 is about 348.7222415953.
The spelling of 42407136 in words is "forty-two million, four hundred seven thousand, one hundred thirty-six".
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