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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".