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4085316 = 2237467
BaseRepresentation
bin1111100101011001000100
321200120000000
433211121010
52021212231
6223321300
746503354
oct17453104
97616000
104085316
1123403a4
121450230
13b00661
14784b64
1555a6e6
hex3e5644

4085316 has 48 divisors (see below), whose sum is σ = 10745280. Its totient is φ = 1358856.

The previous prime is 4085311. The next prime is 4085339. The reversal of 4085316 is 6135804.

4085316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4085316.

It is not an unprimeable number, because it can be changed into a prime (4085311) by changing a digit.

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, 8515 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 24085316 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 4085316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372640).

4085316 is an abundant number, since it is smaller than the sum of its proper divisors (6659964).

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

4085316 is an equidigital number, since it uses as much as digits as its factorization.

4085316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4085316 is about 2021.2164653990. The cubic root of 4085316 is about 159.8607642857.

The spelling of 4085316 in words is "four million, eighty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 467 486 729 934 972 1401 1458 1868 2187 2802 2916 4203 4374 5604 8406 8748 12609 16812 25218 37827 50436 75654 113481 151308 226962 340443 453924 680886 1021329 1361772 2042658 4085316