Search a number
-
+
42585537 = 3311094201
BaseRepresentation
bin1010001001110…
…0110111000001
32222010120101010
42202130313001
541400214122
64120431133
71024654041
oct242346701
988116333
1042585537
1122047165
12123184a9
138a90657
145927721
153b12e0c
hex289cdc1

42585537 has 16 divisors (see below), whose sum is σ = 59164160. Its totient is φ = 27216000.

The previous prime is 42585533. The next prime is 42585547. The reversal of 42585537 is 73558524.

It is not a de Polignac number, because 42585537 - 22 = 42585533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42585495 and 42585504.

It is not an unprimeable number, because it can be changed into a prime (42585533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8037 + ... + 12237.

It is an arithmetic number, because the mean of its divisors is an integer number (3697760).

Almost surely, 242585537 is an apocalyptic number.

It is an amenable number.

42585537 is a deficient number, since it is larger than the sum of its proper divisors (16578623).

42585537 is a wasteful number, since it uses less digits than its factorization.

42585537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344.

The product of its digits is 168000, while the sum is 39.

The square root of 42585537 is about 6525.7594960280. The cubic root of 42585537 is about 349.2105663298.

The spelling of 42585537 in words is "forty-two million, five hundred eighty-five thousand, five hundred thirty-seven".

Divisors: 1 3 31 93 109 327 3379 4201 10137 12603 130231 390693 457909 1373727 14195179 42585537