Base | Representation |
---|---|
bin | 1010000110100… |
… | …1001111100000 |
3 | 2221201211100120 |
4 | 2201221033200 |
5 | 41321432422 |
6 | 4112120240 |
7 | 1023113454 |
oct | 241511740 |
9 | 87654316 |
10 | 42374112 |
11 | 21a12330 |
12 | 12236080 |
13 | 8a18351 |
14 | 58b0664 |
15 | 3ac045c |
hex | 28693e0 |
42374112 has 48 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 12840320.
The previous prime is 42374093. The next prime is 42374113. The reversal of 42374112 is 21147324.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42374113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19008 + ... + 21119.
It is an arithmetic number, because the mean of its divisors is an integer number (2528064).
Almost surely, 242374112 is an apocalyptic number.
It is an amenable number.
42374112 is an abundant number, since it is smaller than the sum of its proper divisors (78972960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42374112 is a wasteful number, since it uses less digits than its factorization.
42374112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40151 (or 40143 counting only the distinct ones).
The product of its digits is 1344, while the sum is 24.
The square root of 42374112 is about 6509.5400759193. The cubic root of 42374112 is about 348.6316971332.
It can be divided in two parts, 42374 and 112, that added together give a triangular number (42486 = T291).
The spelling of 42374112 in words is "forty-two million, three hundred seventy-four thousand, one hundred twelve".
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