Search a number
-
+
42948001 = 172148609
BaseRepresentation
bin1010001111010…
…1010110100001
32222210222120201
42203311112201
541443314001
64132305201
71031023555
oct243652641
988728521
1042948001
1122274518
1212472201
138b89625
1459bd865
153b85501
hex28f55a1

42948001 has 6 divisors (see below), whose sum is σ = 45623270. Its totient is φ = 40421376.

The previous prime is 42947987. The next prime is 42948029. The reversal of 42948001 is 10084924.

42948001 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 3 ways, for example, as 14432401 + 28515600 = 3799^2 + 5340^2 .

It is not a de Polignac number, because 42948001 - 217 = 42816929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42948901) 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 5 ways as a sum of consecutive naturals, for example, 74016 + ... + 74593.

Almost surely, 242948001 is an apocalyptic number.

It is an amenable number.

42948001 is a deficient number, since it is larger than the sum of its proper divisors (2675269).

42948001 is a wasteful number, since it uses less digits than its factorization.

42948001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148643 (or 148626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42948001 is about 6553.4724383337. The cubic root of 42948001 is about 350.1985295442.

The spelling of 42948001 in words is "forty-two million, nine hundred forty-eight thousand, one".

Divisors: 1 17 289 148609 2526353 42948001