Search a number
-
+
42524564 = 2261174281
BaseRepresentation
bin1010001000110…
…1111110010100
32222000110201212
42202031332110
541341241224
64115240552
71024311215
oct242157624
988013655
1042524564
1122005375
12122a9158
138a6b984
14590d40c
153aeed0e
hex288df94

42524564 has 12 divisors (see below), whose sum is σ = 75638388. Its totient is φ = 20913600.

The previous prime is 42524561. The next prime is 42524567. The reversal of 42524564 is 46542524.

42524564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42524561) and next prime (42524567).

It can be written as a sum of positive squares in 2 ways, for example, as 21548164 + 20976400 = 4642^2 + 4580^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42524564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42524561) 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 3 ways as a sum of consecutive naturals, for example, 86897 + ... + 87384.

It is an arithmetic number, because the mean of its divisors is an integer number (6303199).

Almost surely, 242524564 is an apocalyptic number.

It is an amenable number.

42524564 is a deficient number, since it is larger than the sum of its proper divisors (33113824).

42524564 is a wasteful number, since it uses less digits than its factorization.

42524564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174346 (or 174344 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 42524564 is about 6521.0861058569. The cubic root of 42524564 is about 349.0438228181.

The spelling of 42524564 in words is "forty-two million, five hundred twenty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 61 122 244 174281 348562 697124 10631141 21262282 42524564