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42528321 = 341159809
BaseRepresentation
bin1010001000111…
…0111001000001
32222000122220000
42202032321001
541341401241
64115310213
71024325163
oct242167101
988018800
1042528321
1122008180
12122ab369
138a705b4
145910933
153b00eb6
hex288ee41

42528321 has 40 divisors (see below), whose sum is σ = 70567200. Its totient is φ = 25306560.

The previous prime is 42528319. The next prime is 42528329. The reversal of 42528321 is 12382524.

It is not a de Polignac number, because 42528321 - 21 = 42528319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42528329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52165 + ... + 52973.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 242528321 is an apocalyptic number.

It is an amenable number.

42528321 is a deficient number, since it is larger than the sum of its proper divisors (28038879).

42528321 is a wasteful number, since it uses less digits than its factorization.

42528321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42528321 is about 6521.3741650054. The cubic root of 42528321 is about 349.0541017323.

It can be divided in two parts, 42528 and 321, that added together give a square (42849 = 2072).

The spelling of 42528321 in words is "forty-two million, five hundred twenty-eight thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 59 81 99 177 297 531 649 809 891 1593 1947 2427 4779 5841 7281 8899 17523 21843 26697 47731 52569 65529 80091 143193 240273 429579 525041 720819 1288737 1575123 3866211 4725369 14176107 42528321