Base | Representation |
---|---|
bin | 1001000011111… |
… | …1101110001000 |
3 | 2122112002120000 |
4 | 2100333232020 |
5 | 34212302421 |
6 | 3434403000 |
7 | 641035362 |
oct | 220775610 |
9 | 78462500 |
10 | 38009736 |
11 | 1a501306 |
12 | 10890460 |
13 | 7b4a98b |
14 | 5095d32 |
15 | 350c226 |
hex | 243fb88 |
38009736 has 40 divisors (see below), whose sum is σ = 106464270. Its totient is φ = 12669696.
The previous prime is 38009711. The next prime is 38009743. The reversal of 38009736 is 63790083.
38009736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 22752900 + 15256836 = 4770^2 + 3906^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 38009736.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28681 + ... + 29976.
Almost surely, 238009736 is an apocalyptic number.
38009736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
38009736 is an abundant number, since it is smaller than the sum of its proper divisors (68454534).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38009736 is a wasteful number, since it uses less digits than its factorization.
38009736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58675 (or 58662 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 38009736 is about 6165.2036462715. The cubic root of 38009736 is about 336.2262506777.
The spelling of 38009736 in words is "thirty-eight million, nine thousand, seven hundred thirty-six".
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