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38085075 = 3252724181
BaseRepresentation
bin1001000101001…
…0000111010011
32122122220220100
42101102013103
534222210300
63440143443
7641501130
oct221220723
978586810
1038085075
111a552976
1210907b83
137b76062
1450b5587
153524700
hex24521d3

38085075 has 36 divisors (see below), whose sum is σ = 77962768. Its totient is φ = 17409600.

The previous prime is 38085071. The next prime is 38085097. The reversal of 38085075 is 57058083.

It is a happy number.

It is not a de Polignac number, because 38085075 - 22 = 38085071 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38085071) 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 35 ways as a sum of consecutive naturals, for example, 10516 + ... + 13665.

Almost surely, 238085075 is an apocalyptic number.

38085075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38085075 is an abundant number, since it is smaller than the sum of its proper divisors (39877693).

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

38085075 is a wasteful number, since it uses less digits than its factorization.

38085075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24204 (or 24196 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 38085075 is about 6171.3106387541. The cubic root of 38085075 is about 336.4482484642.

The spelling of 38085075 in words is "thirty-eight million, eighty-five thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 24181 72543 120905 169267 217629 362715 507801 604525 846335 1088145 1523403 1813575 2539005 4231675 5440725 7617015 12695025 38085075