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442456425 = 34521511447
BaseRepresentation
bin11010010111110…
…101100101101001
31010211120010010000
4122113311211221
51401232101200
6111523213213
713651550265
oct3227654551
91124503100
10442456425
11207834074
12104217209
1370888248
1442a970a5
1528c9d300
hex1a5f5969

442456425 has 60 divisors (see below), whose sum is σ = 825580096. Its totient is φ = 234252000.

The previous prime is 442456387. The next prime is 442456453. The reversal of 442456425 is 524654244.

442456425 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 5 + 642 + 5 = 666.

It is not a de Polignac number, because 442456425 - 26 = 442456361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442456425.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 305052 + ... + 306498.

Almost surely, 2442456425 is an apocalyptic number.

442456425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442456425 is a deficient number, since it is larger than the sum of its proper divisors (383123671).

442456425 is a wasteful number, since it uses less digits than its factorization.

442456425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 442456425 is about 21034.6482024302. The cubic root of 442456425 is about 762.0032704925.

The spelling of 442456425 in words is "four hundred forty-two million, four hundred fifty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 151 225 405 453 675 755 1359 1447 2025 2265 3775 4077 4341 6795 7235 11325 12231 13023 20385 21705 33975 36175 39069 61155 65115 101925 108525 117207 195345 218497 305775 325575 586035 655491 976725 1092485 1966473 2930175 3277455 5462425 5899419 9832365 16387275 17698257 29497095 49161825 88491285 147485475 442456425