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42116319 = 327668513
BaseRepresentation
bin1010000010101…
…0010011011111
32221020201201200
42200222103133
541240210234
64102410543
71020661050
oct240522337
987221650
1042116319
1121856683
1212130a53
138957bcb
145844727
153a6dd99
hex282a4df

42116319 has 12 divisors (see below), whose sum is σ = 69525456. Its totient is φ = 24066432.

The previous prime is 42116317. The next prime is 42116339. The reversal of 42116319 is 91361124.

42116319 is a `hidden beast` number, since 4 + 21 + 1 + 631 + 9 = 666.

42116319 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 42116319 - 21 = 42116317 is a prime.

It is a super-2 number, since 2×421163192 = 3547568652219522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42116292 and 42116301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116311) 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, 334194 + ... + 334319.

It is an arithmetic number, because the mean of its divisors is an integer number (5793788).

Almost surely, 242116319 is an apocalyptic number.

42116319 is a deficient number, since it is larger than the sum of its proper divisors (27409137).

42116319 is a wasteful number, since it uses less digits than its factorization.

42116319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668526 (or 668523 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 42116319 is about 6489.7086991636. The cubic root of 42116319 is about 347.9232638970.

The spelling of 42116319 in words is "forty-two million, one hundred sixteen thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 63 668513 2005539 4679591 6016617 14038773 42116319