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38928168 = 2333229787
BaseRepresentation
bin1001010001111…
…1111100101000
32201020202102000
42110133330220
534431200133
63510211000
7651612126
oct224377450
981222360
1038928168
111aa79344
1211053a60
1380aca26
145254916
15363e413
hex251ff28

38928168 has 64 divisors (see below), whose sum is σ = 108744000. Its totient is φ = 12902976.

The previous prime is 38928163. The next prime is 38928193. The reversal of 38928168 is 86182983.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38928163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49071 + ... + 49857.

It is an arithmetic number, because the mean of its divisors is an integer number (1699125).

Almost surely, 238928168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38928168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372000).

38928168 is an abundant number, since it is smaller than the sum of its proper divisors (69815832).

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

38928168 is a wasteful number, since it uses less digits than its factorization.

38928168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 38928168 is about 6239.2441849955. The cubic root of 38928168 is about 338.9128133527.

The spelling of 38928168 in words is "thirty-eight million, nine hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 787 916 1374 1574 1832 2061 2361 2748 3148 4122 4722 5496 6183 6296 7083 8244 9444 12366 14166 16488 18888 21249 24732 28332 42498 49464 56664 84996 169992 180223 360446 540669 720892 1081338 1441784 1622007 2162676 3244014 4325352 4866021 6488028 9732042 12976056 19464084 38928168