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386748096 = 26371716927
BaseRepresentation
bin10111000011010…
…100111011000000
3222221201211122120
4113003110323000
51243001414341
6102213204240
712404206320
oct2703247300
9887654576
10386748096
11189344629
12a9630680
1362181837
1439515280
1523e47066
hex170d4ec0

386748096 has 112 divisors (see below), whose sum is σ = 1238317056. Its totient is φ = 103993344.

The previous prime is 386748091. The next prime is 386748107. The reversal of 386748096 is 690847683.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (386748091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14385 + ... + 31311.

Almost surely, 2386748096 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 386748096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619158528).

386748096 is an abundant number, since it is smaller than the sum of its proper divisors (851568960).

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

386748096 is a wasteful number, since it uses less digits than its factorization.

386748096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16966 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 386748096 is about 19665.9120307196. The cubic root of 386748096 is about 728.5780137593.

The spelling of 386748096 in words is "three hundred eighty-six million, seven hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 16927 22848 33854 50781 67708 101562 118489 135416 203124 236978 270832 287759 355467 406248 473956 541664 575518 710934 812496 863277 947912 1083328 1151036 1421868 1624992 1726554 1895824 2014313 2302072 2843736 3249984 3453108 3791648 4028626 4604144 5687472 6042939 6906216 7583296 8057252 9208288 11374944 12085878 13812432 16114504 18416576 22749888 24171756 27624864 32229008 48343512 55249728 64458016 96687024 128916032 193374048 386748096