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38900316 = 2237313727
BaseRepresentation
bin1001010001100…
…1001001011100
32201012100012110
42110121021130
534424302231
63505434020
7651435000
oct224311134
981170173
1038900316
111aa5a424
121103b910
1380a0150
145248700
153636046
hex251925c

38900316 has 96 divisors (see below), whose sum is σ = 114150400. Its totient is φ = 10245312.

The previous prime is 38900299. The next prime is 38900317. The reversal of 38900316 is 61300983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38900317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53145 + ... + 53871.

Almost surely, 238900316 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 38900316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57075200).

38900316 is an abundant number, since it is smaller than the sum of its proper divisors (75250084).

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

38900316 is a wasteful number, since it uses less digits than its factorization.

38900316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

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

The square root of 38900316 is about 6237.0117845007. The cubic root of 38900316 is about 338.8319665669.

The spelling of 38900316 in words is "thirty-eight million, nine hundred thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 727 1029 1092 1274 1372 1454 1911 2058 2181 2548 2908 3822 4116 4362 4459 5089 7644 8724 8918 9451 10178 13377 15267 17836 18902 20356 26754 28353 30534 35623 37804 53508 56706 61068 66157 71246 106869 113412 132314 142492 198471 213738 249361 264628 396942 427476 463099 498722 748083 793884 926198 997444 1389297 1496166 1852396 2778594 2992332 3241693 5557188 6483386 9725079 12966772 19450158 38900316