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38183985 = 3257217317
BaseRepresentation
bin1001000110101…
…0010000110001
32122211221120200
42101222100301
534233341420
63442225413
7642362400
oct221522061
978757520
1038183985
111a610214
1210955269
137bac098
1450dd637
153543b90
hex246a431

38183985 has 36 divisors (see below), whose sum is σ = 76995828. Its totient is φ = 17454528.

The previous prime is 38183983. The next prime is 38183993. The reversal of 38183985 is 58938183.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 14447601 = 4872^2 + 3801^2 .

It is not a de Polignac number, because 38183985 - 21 = 38183983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38183985.

It is not an unprimeable number, because it can be changed into a prime (38183983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6454 + ... + 10863.

It is an arithmetic number, because the mean of its divisors is an integer number (2138773).

Almost surely, 238183985 is an apocalyptic number.

38183985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38183985 is an abundant number, since it is smaller than the sum of its proper divisors (38811843).

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

38183985 is a wasteful number, since it uses less digits than its factorization.

38183985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17342 (or 17332 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 38183985 is about 6179.3191372513. The cubic root of 38183985 is about 336.7392577298.

It can be divided in two parts, 381839 and 85, that added together give a square (381924 = 6182).

The spelling of 38183985 in words is "thirty-eight million, one hundred eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 17317 51951 86585 121219 155853 259755 363657 606095 779265 848533 1090971 1818285 2545599 4242665 5454855 7636797 12727995 38183985