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4037085 = 3251367103
BaseRepresentation
bin1111011001100111011101
321121002211200
433121213131
52013141320
6222310113
746212633
oct17314735
97532750
104037085
112308138
121428339
13ab4710
14771353
1554b290
hex3d99dd

4037085 has 48 divisors (see below), whose sum is σ = 7722624. Its totient is φ = 1938816.

The previous prime is 4037083. The next prime is 4037149. The reversal of 4037085 is 5807304.

It is not a de Polignac number, because 4037085 - 21 = 4037083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4037083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39144 + ... + 39246.

It is an arithmetic number, because the mean of its divisors is an integer number (160888).

Almost surely, 24037085 is an apocalyptic number.

4037085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4037085 is the 1005-th decagonal number.

It is an amenable number.

4037085 is a deficient number, since it is larger than the sum of its proper divisors (3685539).

4037085 is a wasteful number, since it uses less digits than its factorization.

4037085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4037085 is about 2009.2498600224. The cubic root of 4037085 is about 159.2291699493.

The spelling of 4037085 in words is "four million, thirty-seven thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 67 103 117 195 201 309 335 515 585 603 871 927 1005 1339 1545 2613 3015 4017 4355 4635 6695 6901 7839 12051 13065 20085 20703 34505 39195 60255 62109 89713 103515 269139 310545 448565 807417 1345695 4037085