Base | Representation |
---|---|
bin | 1010001101111… |
… | …0111111100000 |
3 | 2222122022221200 |
4 | 2203132333200 |
5 | 41432401131 |
6 | 4130321200 |
7 | 1030162551 |
oct | 243367740 |
9 | 88568850 |
10 | 42856416 |
11 | 22211729 |
12 | 12429200 |
13 | 8b56a35 |
14 | 5998328 |
15 | 3b682e6 |
hex | 28defe0 |
42856416 has 72 divisors (see below), whose sum is σ = 123747624. Its totient is φ = 14065920.
The previous prime is 42856409. The next prime is 42856417. The reversal of 42856416 is 61465824.
42856416 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 641 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (46080) is a multiple of the sum of its prime factors (2304).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42856417) 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, 18186 + ... + 20406.
It is an arithmetic number, because the mean of its divisors is an integer number (1718717).
Almost surely, 242856416 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 42856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873812).
42856416 is an abundant number, since it is smaller than the sum of its proper divisors (80891208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42856416 is a wasteful number, since it uses less digits than its factorization.
42856416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 42856416 is about 6546.4811922131. The cubic root of 42856416 is about 349.9494239845.
It can be divided in two parts, 4285 and 6416, that added together give a palindrome (10701).
The spelling of 42856416 in words is "forty-two million, eight hundred fifty-six thousand, four hundred sixteen".
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