Search a number
-
+
42009985 = 537227081
BaseRepresentation
bin1010000001000…
…0010110000001
32221001022212101
42200100112001
541223304420
64100230401
71020036043
oct240202601
987038771
1042009985
11217937a6
121209b401
13891b6a4
145817a93
153a4c60a
hex2810581

42009985 has 8 divisors (see below), whose sum is σ = 51774696. Its totient is φ = 32699520.

The previous prime is 42009971. The next prime is 42010013. The reversal of 42009985 is 58990024.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 36590401 = 2328^2 + 6049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42009985 - 27 = 42009857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 113356 + ... + 113725.

It is an arithmetic number, because the mean of its divisors is an integer number (6471837).

Almost surely, 242009985 is an apocalyptic number.

It is an amenable number.

42009985 is a deficient number, since it is larger than the sum of its proper divisors (9764711).

42009985 is a wasteful number, since it uses less digits than its factorization.

42009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227123.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 42009985 is about 6481.5110121020. The cubic root of 42009985 is about 347.6302084378.

The spelling of 42009985 in words is "forty-two million, nine thousand, nine hundred eighty-five".

Divisors: 1 5 37 185 227081 1135405 8401997 42009985