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4085600742 = 233193982067
BaseRepresentation
bin1111001110000101…
…0101000111100110
3101112201210000121000
43303201111013212
531331403210432
61513224334130
7203150014266
oct36341250746
911481700530
104085600742
111807240343
12960314346
13501593142
142aa8777a6
1518da3357c
hexf38551e6

4085600742 has 32 divisors (see below), whose sum is σ = 9556963200. Its totient is φ = 1290189384.

The previous prime is 4085600741. The next prime is 4085600749. The reversal of 4085600742 is 2470065804.

4085600742 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 600 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4085600697 and 4085600706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085600741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990008 + ... + 1992059.

It is an arithmetic number, because the mean of its divisors is an integer number (298655100).

Almost surely, 24085600742 is an apocalyptic number.

4085600742 is an abundant number, since it is smaller than the sum of its proper divisors (5471362458).

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

4085600742 is a wasteful number, since it uses less digits than its factorization.

4085600742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982097 (or 3982091 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4085600742 is about 63918.7041639613. The cubic root of 4085600742 is about 1598.6447823878.

The spelling of 4085600742 in words is "four billion, eighty-five million, six hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 3982067 7964134 11946201 23892402 35838603 71677206 75659273 107515809 151318546 215031618 226977819 453955638 680933457 1361866914 2042800371 4085600742