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4085032 = 237217613
BaseRepresentation
bin1111100101010100101000
321200112121111
433211110220
52021210112
6223320104
746502500
oct17452450
97615544
104085032
112340166
121450034
13b004a3
14784a00
1555a5a7
hex3e5528

4085032 has 48 divisors (see below), whose sum is σ = 9449460. Its totient is φ = 1645056.

The previous prime is 4084999. The next prime is 4085033. The reversal of 4085032 is 2305804.

4085032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 188356 = 1974^2 + 434^2 .

It is a super-3 number, since 3×40850323 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4084994 and 4085012.

It is not an unprimeable number, because it can be changed into a prime (4085033) 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 11 ways as a sum of consecutive naturals, for example, 6358 + ... + 6970.

Almost surely, 24085032 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 4085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724730).

4085032 is an abundant number, since it is smaller than the sum of its proper divisors (5364428).

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

4085032 is a wasteful number, since it uses less digits than its factorization.

4085032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4085032 is about 2021.1462094564. The cubic root of 4085032 is about 159.8570598387.

The spelling of 4085032 in words is "four million, eighty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 613 833 952 1226 1666 2452 3332 4291 4904 6664 8582 10421 17164 20842 30037 34328 41684 60074 72947 83368 120148 145894 240296 291788 510629 583576 1021258 2042516 4085032