Search a number
-
+
38307568 = 2413231457
BaseRepresentation
bin1001001000100…
…0011011110000
32200002020002211
42102020123300
534301320233
63445021504
7643415605
oct222103360
980066084
1038307568
111a695052
12109b4894
137c23400
1451326ac
15356a5cd
hex24886f0

38307568 has 60 divisors (see below), whose sum is σ = 83143488. Its totient is φ = 17072640.

The previous prime is 38307557. The next prime is 38307569. The reversal of 38307568 is 86570383.

It is a self number, because there is not a number n which added to its sum of digits gives 38307568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38307569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83596 + ... + 84052.

Almost surely, 238307568 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 38307568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41571744).

38307568 is an abundant number, since it is smaller than the sum of its proper divisors (44835920).

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

38307568 is a wasteful number, since it uses less digits than its factorization.

38307568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 38307568 is about 6189.3107855399. The cubic root of 38307568 is about 337.1021536064.

The spelling of 38307568 in words is "thirty-eight million, three hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 403 457 496 676 806 914 1352 1612 1828 2704 3224 3656 5239 5941 6448 7312 10478 11882 14167 20956 23764 28334 41912 47528 56668 77233 83824 95056 113336 154466 184171 226672 308932 368342 617864 736684 1235728 1473368 2394223 2946736 4788446 9576892 19153784 38307568