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38300382 = 23223711303
BaseRepresentation
bin1001001000011…
…0101011011110
32200001212020200
42102012223132
534301103012
63444524330
7643355631
oct222065336
980055220
1038300382
111a68a70a
12109b06a6
137c20063
14512dc18
1535683dc
hex2486ade

38300382 has 48 divisors (see below), whose sum is σ = 87879168. Its totient is φ = 12030480.

The previous prime is 38300377. The next prime is 38300417. The reversal of 38300382 is 28300383.

38300382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×383003822 = 2933838522691848, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 28743 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (1830816).

Almost surely, 238300382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38300382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43939584).

38300382 is an abundant number, since it is smaller than the sum of its proper divisors (49578786).

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

38300382 is a wasteful number, since it uses less digits than its factorization.

38300382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38300382 is about 6188.7302413338. The cubic root of 38300382 is about 337.0810736329.

Subtracting from 38300382 its reverse (28300383), we obtain a palindrome (9999999).

The spelling of 38300382 in words is "thirty-eight million, three hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 639 1278 1303 1633 2606 3266 3909 4899 7818 9798 11727 14697 23454 29394 29969 59938 89907 92513 179814 185026 269721 277539 539442 555078 832617 1665234 2127799 4255598 6383397 12766794 19150191 38300382