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42566524 = 227111310631
BaseRepresentation
bin1010001001100…
…0001101111100
32222002121021221
42202120031330
541344112044
64120203124
71024544440
oct242301574
988077257
1042566524
1122033950
12123094a4
138a84ac0
145920820
153b0c484
hex289837c

42566524 has 48 divisors (see below), whose sum is σ = 100025856. Its totient is φ = 15307200.

The previous prime is 42566509. The next prime is 42566527.

42566524 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42566524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42566527) 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, 1312 + ... + 9319.

It is an arithmetic number, because the mean of its divisors is an integer number (2083872).

Almost surely, 242566524 is an apocalyptic number.

42566524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42566524 is an abundant number, since it is smaller than the sum of its proper divisors (57459332).

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

42566524 is a wasteful number, since it uses less digits than its factorization.

42566524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10664 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 42566524 is about 6524.3025680911. The cubic root of 42566524 is about 349.1585883632.

The spelling of 42566524 in words is "forty-two million, five hundred sixty-six thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10631 21262 42524 74417 116941 138203 148834 233882 276406 297668 467764 552812 818587 967421 1520233 1637174 1934842 3040466 3274348 3869684 6080932 10641631 21283262 42566524