Search a number
-
+
42521337 = 3229162917
BaseRepresentation
bin1010001000110…
…1001011111001
32222000022022100
42202031023321
541341140322
64115214013
71024265625
oct242151371
988008270
1042521337
1122002a01
12122a7309
138a6a371
14590c185
153aeddac
hex288d2f9

42521337 has 12 divisors (see below), whose sum is σ = 63538020. Its totient is φ = 27369888.

The previous prime is 42521329. The next prime is 42521341. The reversal of 42521337 is 73312524.

42521337 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 2 ways, for example, as 32936121 + 9585216 = 5739^2 + 3096^2 .

It is not a de Polignac number, because 42521337 - 23 = 42521329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42521337.

It is not an unprimeable number, because it can be changed into a prime (42521357) 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 11 ways as a sum of consecutive naturals, for example, 81198 + ... + 81719.

It is an arithmetic number, because the mean of its divisors is an integer number (5294835).

Almost surely, 242521337 is an apocalyptic number.

It is an amenable number.

42521337 is a deficient number, since it is larger than the sum of its proper divisors (21016683).

42521337 is a wasteful number, since it uses less digits than its factorization.

42521337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162952 (or 162949 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 42521337 is about 6520.8386730543. The cubic root of 42521337 is about 349.0349934671.

The spelling of 42521337 in words is "forty-two million, five hundred twenty-one thousand, three hundred thirty-seven".

Divisors: 1 3 9 29 87 261 162917 488751 1466253 4724593 14173779 42521337