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42289013 = 1317191353
BaseRepresentation
bin1010000101010…
…0011101110101
32221120111121202
42201110131311
541311222023
64110222245
71022310404
oct241243565
987514552
1042289013
11219643a8
12121b4985
1389b86b0
14588b63b
153aa5128
hex2854775

42289013 has 8 divisors (see below), whose sum is σ = 48221208. Its totient is φ = 36739584.

The previous prime is 42288997. The next prime is 42289033. The reversal of 42289013 is 31098224.

42289013 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 6265009 + 36024004 = 2503^2 + 6002^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42289013 - 24 = 42288997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42289033) 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 7 ways as a sum of consecutive naturals, for example, 95456 + ... + 95897.

It is an arithmetic number, because the mean of its divisors is an integer number (6027651).

Almost surely, 242289013 is an apocalyptic number.

It is an amenable number.

42289013 is a deficient number, since it is larger than the sum of its proper divisors (5932195).

42289013 is a wasteful number, since it uses less digits than its factorization.

42289013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191383.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 42289013 is about 6503.0003075504. Note that the first 3 decimals coincide. The cubic root of 42289013 is about 348.3981575949.

The spelling of 42289013 in words is "forty-two million, two hundred eighty-nine thousand, thirteen".

Divisors: 1 13 17 221 191353 2487589 3253001 42289013