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163856385 = 33571121433
BaseRepresentation
bin10011100010001…
…00000000000001
3102102022202201000
421301010000001
5313421401020
624132002213
74026520260
oct1161040001
9372282630
10163856385
1184546800
1246a60369
1327c40b54
1417a945d7
15e5ba090
hex9c44001

163856385 has 96 divisors (see below), whose sum is σ = 366186240. Its totient is φ = 68048640.

The previous prime is 163856383. The next prime is 163856389. The reversal of 163856385 is 583658361.

163856385 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 5 + 638 + 5 = 666.

It is not a de Polignac number, because 163856385 - 21 = 163856383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 163856385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163856383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113629 + ... + 115061.

It is an arithmetic number, because the mean of its divisors is an integer number (3814440).

It is a Proth number, since it is equal to 10001 ⋅ 214 + 1 and 10001 < 214.

Almost surely, 2163856385 is an apocalyptic number.

163856385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163856385 is an abundant number, since it is smaller than the sum of its proper divisors (202329855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163856385 is a wasteful number, since it uses less digits than its factorization.

163856385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1459 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 163856385 is about 12800.6400230613. The cubic root of 163856385 is about 547.2105431852.

The spelling of 163856385 in words is "one hundred sixty-three million, eight hundred fifty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 363 385 495 605 693 847 945 1089 1155 1433 1485 1815 2079 2541 3267 3465 4235 4299 5445 7165 7623 10031 10395 12705 12897 15763 16335 21495 22869 30093 38115 38691 47289 50155 64485 78815 90279 110341 114345 141867 150465 173393 193455 236445 270837 331023 425601 451395 520179 551705 709335 866965 993069 1213751 1354185 1560537 1655115 2128005 2600895 2979207 3641253 4681611 4965345 6068755 7802685 10923759 14896035 18206265 23408055 32771277 54618795 163856385