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386809088 = 2841137269
BaseRepresentation
bin10111000011100…
…011110100000000
3222221211221022112
4113003203310000
51243010342323
6102214354452
712404552201
oct2703436400
9887757275
10386809088
11189386436
12a965ba28
13621a3523
143952d5a8
1523e5a178
hex170e3d00

386809088 has 72 divisors (see below), whose sum is σ = 799674120. Its totient is φ = 186613760.

The previous prime is 386809079. The next prime is 386809099. The reversal of 386809088 is 880908683.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 382280704 = 2128^2 + 19552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437818 + ... + 1438086.

It is an arithmetic number, because the mean of its divisors is an integer number (11106585).

Almost surely, 2386809088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399837060).

386809088 is an abundant number, since it is smaller than the sum of its proper divisors (412865032).

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

386809088 is a wasteful number, since it uses less digits than its factorization.

386809088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 386809088 is about 19667.4626731564. The cubic root of 386809088 is about 728.6163118099.

The spelling of 386809088 in words is "three hundred eighty-six million, eight hundred nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 137 164 256 269 274 328 538 548 656 1076 1096 1312 2152 2192 2624 4304 4384 5248 5617 8608 8768 10496 11029 11234 17216 17536 22058 22468 34432 35072 36853 44116 44936 68864 73706 88232 89872 147412 176464 179744 294824 352928 359488 589648 705856 718976 1179296 1411712 1437952 1510973 2358592 2823424 3021946 4717184 6043892 9434368 12087784 24175568 48351136 96702272 193404544 386809088