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42884359 = 7229103293
BaseRepresentation
bin1010001110010…
…1110100000111
32222200202021121
42203211310013
541434244414
64131054411
71030340200
oct243456407
988622247
1042884359
1122230721
1212441407
138b6667b
1459a45a7
153b71724
hex28e5d07

42884359 has 24 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 35025984.

The previous prime is 42884333. The next prime is 42884363. The reversal of 42884359 is 95348824.

42884359 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 42884359 - 213 = 42876167 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

Its product of digits (276480) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42884329) 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 23 ways as a sum of consecutive naturals, for example, 146217 + ... + 146509.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 242884359 is an apocalyptic number.

42884359 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42884359 is a deficient number, since it is larger than the sum of its proper divisors (9400601).

42884359 is a wasteful number, since it uses less digits than its factorization.

42884359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 42884359 is about 6548.6150444197. The cubic root of 42884359 is about 350.0254648139.

The spelling of 42884359 in words is "forty-two million, eight hundred eighty-four thousand, three hundred fifty-nine".

Divisors: 1 7 29 49 103 203 293 721 1421 2051 2987 5047 8497 14357 20909 30179 59479 146363 211253 416353 875191 1478771 6126337 42884359