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385164864 = 2632795527
BaseRepresentation
bin10110111101010…
…010011001000000
3222211202101212100
4112331102121000
51242100233424
6102115230400
712354563430
oct2675223100
9884671770
10385164864
11188463077
12a8ba8400
1361a49006
14392222c0
1523c32dc9
hex16f52640

385164864 has 84 divisors (see below), whose sum is σ = 1261733824. Its totient is φ = 110045952.

The previous prime is 385164853. The next prime is 385164887. The reversal of 385164864 is 468461583.

385164864 is a `hidden beast` number, since 38 + 516 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43732 + ... + 51795.

Almost surely, 2385164864 is an apocalyptic number.

It is an amenable number.

385164864 is an abundant number, since it is smaller than the sum of its proper divisors (876568960).

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

385164864 is a wasteful number, since it uses less digits than its factorization.

385164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95552 (or 95539 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 385164864 is about 19625.6175444239. The cubic root of 385164864 is about 727.5824599201.

The spelling of 385164864 in words is "three hundred eighty-five million, one hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 95527 191054 286581 382108 573162 668689 764216 859743 1146324 1337378 1528432 1719486 2006067 2292648 2674756 3056864 3438972 4012134 4585296 5349512 6018201 6113728 6877944 8024268 9170592 10699024 12036402 13755888 16048536 18341184 21398048 24072804 27511776 32097072 42796096 48145608 55023552 64194144 96291216 128388288 192582432 385164864