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38390016 = 283737193
BaseRepresentation
bin1001001001110…
…0100100000000
32200020102012110
42102130210000
534311440031
63450455320
7644211150
oct222344400
980212173
1038390016
111a740a95
1210a34540
137c51ab2
145154760
153584c46
hex249c900

38390016 has 144 divisors (see below), whose sum is σ = 120546944. Its totient is φ = 10616832.

The previous prime is 38389991. The next prime is 38390017. The reversal of 38390016 is 61009383.

It is not an unprimeable number, because it can be changed into a prime (38390017) 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, 198816 + ... + 199008.

Almost surely, 238390016 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 38390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60273472).

38390016 is an abundant number, since it is smaller than the sum of its proper divisors (82156928).

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

38390016 is a wasteful number, since it uses less digits than its factorization.

38390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 38390016 is about 6195.9677210263. The cubic root of 38390016 is about 337.3438245872.

Adding to 38390016 its reverse (61009383), we get a palindrome (99399399).

The spelling of 38390016 in words is "thirty-eight million, three hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 193 222 224 256 259 296 336 384 386 444 448 518 579 592 672 768 772 777 888 896 1036 1158 1184 1344 1351 1544 1554 1776 1792 2072 2316 2368 2688 2702 3088 3108 3552 4053 4144 4632 4736 5376 5404 6176 6216 7104 7141 8106 8288 9264 9472 10808 12352 12432 14208 14282 16212 16576 18528 21423 21616 24704 24864 28416 28564 32424 33152 37056 42846 43232 49408 49728 49987 57128 64848 66304 74112 85692 86464 99456 99974 114256 129696 148224 149961 171384 172928 198912 199948 228512 259392 299922 342768 345856 399896 457024 518784 599844 685536 799792 914048 1037568 1199688 1371072 1599584 1828096 2399376 2742144 3199168 4798752 5484288 6398336 9597504 12796672 19195008 38390016