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42520293 = 32291011613
BaseRepresentation
bin1010001000110…
…0111011100101
32222000020212200
42202030323211
541341122133
64115205113
71024262604
oct242147345
988006780
1042520293
1122002142
12122a6799
138a69a4a
14590ba3b
153aed913
hex288cee5

42520293 has 24 divisors (see below), whose sum is σ = 64204920. Its totient is φ = 27081600.

The previous prime is 42520273. The next prime is 42520327. The reversal of 42520293 is 39202524.

42520293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20223009 + 22297284 = 4497^2 + 4722^2 .

It is not a de Polignac number, because 42520293 - 212 = 42516197 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42520273) 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 23 ways as a sum of consecutive naturals, for example, 25555 + ... + 27167.

It is an arithmetic number, because the mean of its divisors is an integer number (2675205).

Almost surely, 242520293 is an apocalyptic number.

It is an amenable number.

42520293 is a deficient number, since it is larger than the sum of its proper divisors (21684627).

42520293 is a wasteful number, since it uses less digits than its factorization.

42520293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42520293 is about 6520.7586215102. The cubic root of 42520293 is about 349.0321368972.

The spelling of 42520293 in words is "forty-two million, five hundred twenty thousand, two hundred ninety-three".

Divisors: 1 3 9 29 87 101 261 303 909 1613 2929 4839 8787 14517 26361 46777 140331 162913 420993 488739 1466217 4724477 14173431 42520293