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37840085 = 5371371493
BaseRepresentation
bin1001000001011…
…0010011010101
32122012110211122
42100112103111
534141340320
63431013325
7636430643
oct220262325
978173748
1037840085
111a3a58a8
121080a245
137abb6aa
145050193
1534c6d25
hex24164d5

37840085 has 16 divisors (see below), whose sum is σ = 47007216. Its totient is φ = 29219328.

The previous prime is 37840081. The next prime is 37840091. The reversal of 37840085 is 58004873.

It can be written as a sum of positive squares in 8 ways, for example, as 6041764 + 31798321 = 2458^2 + 5639^2 .

It is a cyclic number.

It is not a de Polignac number, because 37840085 - 22 = 37840081 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37840081) 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, 24599 + ... + 26091.

It is an arithmetic number, because the mean of its divisors is an integer number (2937951).

Almost surely, 237840085 is an apocalyptic number.

It is an amenable number.

37840085 is a deficient number, since it is larger than the sum of its proper divisors (9167131).

37840085 is a wasteful number, since it uses less digits than its factorization.

37840085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 37840085 is about 6151.4295086589. The cubic root of 37840085 is about 335.7252720542.

The spelling of 37840085 in words is "thirty-seven million, eight hundred forty thousand, eighty-five".

Divisors: 1 5 37 137 185 685 1493 5069 7465 25345 55241 204541 276205 1022705 7568017 37840085