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42416003 = 717431827
BaseRepresentation
bin1010000111001…
…1011110000011
32221210221211002
42201303132003
541324303003
64113042215
71023346550
oct241633603
987727732
1042416003
1121a40853
121225636b
138a31436
1458c1a27
153acca88
hex2873783

42416003 has 16 divisors (see below), whose sum is σ = 51508224. Its totient is φ = 34097280.

The previous prime is 42415981. The next prime is 42416027. The reversal of 42416003 is 30061424.

It is a happy number.

42416003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42416003 - 26 = 42415939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42416053) 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 15 ways as a sum of consecutive naturals, for example, 50876 + ... + 51702.

It is an arithmetic number, because the mean of its divisors is an integer number (3219264).

Almost surely, 242416003 is an apocalyptic number.

42416003 is a deficient number, since it is larger than the sum of its proper divisors (9092221).

42416003 is a wasteful number, since it uses less digits than its factorization.

42416003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42416003 is about 6512.7569431079. The cubic root of 42416003 is about 348.7465449314.

Adding to 42416003 its reverse (30061424), we get a palindrome (72477427).

The spelling of 42416003 in words is "forty-two million, four hundred sixteen thousand, three".

Divisors: 1 7 17 119 431 827 3017 5789 7327 14059 51289 98413 356437 2495059 6059429 42416003