Search a number
-
+
42542320 = 245677937
BaseRepresentation
bin1010001001001…
…0010011110000
32222001101002111
42202102103300
541342323240
64115455104
71024414042
oct242222360
988041074
1042542320
1122017747
12122b7494
138a76a92
145915a92
153b051ea
hex28924f0

42542320 has 40 divisors (see below), whose sum is σ = 100399824. Its totient is φ = 16760832.

The previous prime is 42542303. The next prime is 42542329. The reversal of 42542320 is 2324524.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42542291 and 42542300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42542329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392 + ... + 9328.

Almost surely, 242542320 is an apocalyptic number.

42542320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50199912).

42542320 is an abundant number, since it is smaller than the sum of its proper divisors (57857504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42542320 is a wasteful number, since it uses less digits than its factorization.

42542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 42542320 is about 6522.4473934253. The cubic root of 42542320 is about 349.0923967805.

Adding to 42542320 its reverse (2324524), we get a palindrome (44866844).

The spelling of 42542320 in words is "forty-two million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 7937 15874 31748 39685 63496 79370 126992 158740 317480 531779 634960 1063558 2127116 2658895 4254232 5317790 8508464 10635580 21271160 42542320