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42827519 = 722930139
BaseRepresentation
bin1010001101011…
…1111011111111
32222120212022102
42203113323333
541430440034
64125535315
71030012400
oct243277377
988525272
1042827519
11221a1a49
121241453b
138b46837
14598b9a7
153b5e97e
hex28d7eff

42827519 has 12 divisors (see below), whose sum is σ = 51539400. Its totient is φ = 35442288.

The previous prime is 42827513. The next prime is 42827531. The reversal of 42827519 is 91572824.

It is not a de Polignac number, because 42827519 - 220 = 41778943 is a prime.

It is a super-3 number, since 3×428275193 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42827513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13649 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (4294950).

Almost surely, 242827519 is an apocalyptic number.

42827519 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42827519 is a deficient number, since it is larger than the sum of its proper divisors (8711881).

42827519 is a wasteful number, since it uses less digits than its factorization.

42827519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30182 (or 30175 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 42827519 is about 6544.2737564989. The cubic root of 42827519 is about 349.8707522774.

The spelling of 42827519 in words is "forty-two million, eight hundred twenty-seven thousand, five hundred nineteen".

Divisors: 1 7 29 49 203 1421 30139 210973 874031 1476811 6118217 42827519