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385982016 = 263735861
BaseRepresentation
bin10111000000011…
…001111001000000
3222220021220210020
4113000121321000
51242302411031
6102144533440
712364536000
oct2700317100
9886256706
10385982016
11188971002
12a9321280
1361c73c34
1439396000
1523d45096
hex17019e40

385982016 has 112 divisors (see below), whose sum is σ = 1191158400. Its totient is φ = 110261760.

The previous prime is 385981997. The next prime is 385982029. The reversal of 385982016 is 610289583.

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 (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62926 + ... + 68786.

Almost surely, 2385982016 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 385982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595579200).

385982016 is an abundant number, since it is smaller than the sum of its proper divisors (805176384).

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

385982016 is an equidigital number, since it uses as much as digits as its factorization.

385982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 385982016 is about 19646.4250183080. The cubic root of 385982016 is about 728.0966341151.

The spelling of 385982016 in words is "three hundred eighty-five million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 5861 8232 9408 10976 11722 16464 17583 21952 23444 32928 35166 41027 46888 65856 70332 82054 93776 123081 140664 164108 187552 246162 281328 287189 328216 375104 492324 562656 574378 656432 861567 984648 1125312 1148756 1312864 1723134 1969296 2010323 2297512 2625728 3446268 3938592 4020646 4595024 6030969 6892536 7877184 8041292 9190048 12061938 13785072 16082584 18380096 24123876 27570144 32165168 48247752 55140288 64330336 96495504 128660672 192991008 385982016