Search a number
-
+
42053585 = 571201531
BaseRepresentation
bin1010000001101…
…0111111010001
32221010112200012
42200122333101
541231203320
64101204305
71020310130
oct240327721
987115605
1042053585
1121813532
1212100695
1389354a2
145829917
153a5a4c5
hex281afd1

42053585 has 8 divisors (see below), whose sum is σ = 57673536. Its totient is φ = 28836720.

The previous prime is 42053581. The next prime is 42053587. The reversal of 42053585 is 58535024.

42053585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42053585 - 22 = 42053581 is a prime.

It is a super-2 number, since 2×420535852 = 3537008022704450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42053581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600731 + ... + 600800.

It is an arithmetic number, because the mean of its divisors is an integer number (7209192).

Almost surely, 242053585 is an apocalyptic number.

It is an amenable number.

42053585 is a deficient number, since it is larger than the sum of its proper divisors (15619951).

42053585 is a wasteful number, since it uses less digits than its factorization.

42053585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201543.

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 42053585 is about 6484.8735531235. The cubic root of 42053585 is about 347.7504293540.

The spelling of 42053585 in words is "forty-two million, fifty-three thousand, five hundred eighty-five".

Divisors: 1 5 7 35 1201531 6007655 8410717 42053585