Search a number
-
+
42522524 = 22111795399
BaseRepresentation
bin1010001000110…
…1011110011100
32222000100221022
42202031132130
541341210044
64115223312
71024302242
oct242153634
988010838
1042522524
1122003890
12122a7b38
138a6aa75
14590c792
153aee3ee
hex288d79c

42522524 has 24 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 19216880.

The previous prime is 42522499. The next prime is 42522527.

42522524 is nontrivially palindromic in base 10.

42522524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42522493 and 42522502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522527) 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, 5177 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 242522524 is an apocalyptic number.

42522524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42522524 is a deficient number, since it is larger than the sum of its proper divisors (39125476).

42522524 is a wasteful number, since it uses less digits than its factorization.

42522524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5591 counting only the distinct ones).

The product of its digits is 6400, while the sum is 26.

The square root of 42522524 is about 6520.9296883190. The cubic root of 42522524 is about 349.0382412537.

It can be divided in two parts, 4252 and 2524, that added together give a palindrome (6776).

The spelling of 42522524 in words is "forty-two million, five hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 179 358 716 1969 3938 5399 7876 10798 21596 59389 118778 237556 966421 1932842 3865684 10630631 21261262 42522524