Base | Representation |
---|---|
bin | 1010001100001… |
… | …0000001010000 |
3 | 2222102022011102 |
4 | 2203002001100 |
5 | 41420101434 |
6 | 4124003532 |
7 | 1026156560 |
oct | 243020120 |
9 | 88368142 |
10 | 42737744 |
11 | 22140555 |
12 | 123905a8 |
13 | 8b14a0a |
14 | 5966da0 |
15 | 3b4307e |
hex | 28c2050 |
42737744 has 60 divisors (see below), whose sum is σ = 97425312. Its totient is φ = 17790720.
The previous prime is 42737731. The next prime is 42737753. The reversal of 42737744 is 44773724.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 42737698 and 42737707.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188159 + ... + 188385.
Almost surely, 242737744 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 42737744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48712656).
42737744 is an abundant number, since it is smaller than the sum of its proper divisors (54687568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42737744 is a wasteful number, since it uses less digits than its factorization.
42737744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 324 (or 277 counting only the distinct ones).
The product of its digits is 131712, while the sum is 38.
The square root of 42737744 is about 6537.4111083823. The cubic root of 42737744 is about 349.6261150280.
The spelling of 42737744 in words is "forty-two million, seven hundred thirty-seven thousand, seven hundred forty-four".
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