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42384375 = 325511137
BaseRepresentation
bin1010000110101…
…1101111110111
32221202100102200
42201223233313
541322300000
64112235543
71023155415
oct241535767
987670380
1042384375
1121a1a010
121223bbb3
138a1cc17
1458b42b5
153ac3500
hex286bbf7

42384375 has 72 divisors (see below), whose sum is σ = 84088368. Its totient is φ = 20400000.

The previous prime is 42384371. The next prime is 42384389. The reversal of 42384375 is 57348324.

It is a happy number.

It is not a de Polignac number, because 42384375 - 22 = 42384371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42384371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309307 + ... + 309443.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 242384375 is an apocalyptic number.

42384375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42384375 is a deficient number, since it is larger than the sum of its proper divisors (41703993).

42384375 is a wasteful number, since it uses less digits than its factorization.

42384375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42384375 is about 6510.3283327341. The cubic root of 42384375 is about 348.6598410329.

The spelling of 42384375 in words is "forty-two million, three hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 137 165 225 275 375 411 495 625 685 825 1125 1233 1375 1507 1875 2055 2475 3125 3425 4125 4521 5625 6165 6875 7535 9375 10275 12375 13563 17125 20625 22605 28125 30825 34375 37675 51375 61875 67815 85625 103125 113025 154125 188375 256875 309375 339075 428125 565125 770625 941875 1284375 1695375 2825625 3853125 4709375 8476875 14128125 42384375