Base | Representation |
---|---|
bin | 1010001000111… |
… | …0011111000000 |
3 | 2222000120121100 |
4 | 2202032133000 |
5 | 41341323111 |
6 | 4115254400 |
7 | 1024320264 |
oct | 242163700 |
9 | 88016540 |
10 | 42526656 |
11 | 220069a7 |
12 | 122aa400 |
13 | 8a6c903 |
14 | 59100a4 |
15 | 3b00756 |
hex | 288e7c0 |
42526656 has 168 divisors, whose sum is σ = 133374384. Its totient is φ = 12902400.
The previous prime is 42526651. The next prime is 42526711. The reversal of 42526656 is 65662524.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 42526656.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42526651) 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 23 ways as a sum of consecutive naturals, for example, 421006 + ... + 421106.
Almost surely, 242526656 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 42526656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66687192).
42526656 is an abundant number, since it is smaller than the sum of its proper divisors (90847728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42526656 is a wasteful number, since it uses less digits than its factorization.
42526656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 166 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The square root of 42526656 is about 6521.2465066121. The cubic root of 42526656 is about 349.0495464724.
The spelling of 42526656 in words is "forty-two million, five hundred twenty-six thousand, six hundred fifty-six".
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