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427265325 = 325283137167
BaseRepresentation
bin11001011101111…
…000110100101101
31002202222022211200
4121131320310231
51333334442300
6110221440113
713405460334
oct3135706455
91082868750
10427265325
111aa1a8843
12bb110039
136a699926
1440a60d1b
152779c200
hex19778d2d

427265325 has 72 divisors (see below), whose sum is σ = 784824768. Its totient is φ = 222147840.

The previous prime is 427265299. The next prime is 427265341. The reversal of 427265325 is 523562724.

427265325 is a `hidden beast` number, since 4 + 272 + 65 + 325 = 666.

It is not a de Polignac number, because 427265325 - 26 = 427265261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427265325.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2558392 + ... + 2558558.

It is an arithmetic number, because the mean of its divisors is an integer number (10900344).

Almost surely, 2427265325 is an apocalyptic number.

427265325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427265325 is a deficient number, since it is larger than the sum of its proper divisors (357559443).

427265325 is a wasteful number, since it uses less digits than its factorization.

427265325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 427265325 is about 20670.3973111307. The cubic root of 427265325 is about 753.1807579684.

The spelling of 427265325 in words is "four hundred twenty-seven million, two hundred sixty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 137 167 225 249 411 415 501 685 747 835 1233 1245 1503 2055 2075 2505 3425 3735 4175 6165 6225 7515 10275 11371 12525 13861 18675 22879 30825 34113 37575 41583 56855 68637 69305 102339 114395 124749 170565 205911 207915 284275 343185 346525 511695 571975 623745 852825 1029555 1039575 1715925 1898957 2558475 3118725 5147775 5696871 9494785 17090613 28484355 47473925 85453065 142421775 427265325