Search a number
-
+
38450300 = 2252731959
BaseRepresentation
bin1001001010101…
…1010001111100
32200100110220012
42102223101330
534320402200
63452042352
7644552000
oct222532174
980313805
1038450300
111a782309
1210a633b8
137c73375
14516c700
153597a35
hex24ab47c

38450300 has 144 divisors (see below), whose sum is σ = 104160000. Its totient is φ = 12277440.

The previous prime is 38450297. The next prime is 38450309. The reversal of 38450300 is 305483.

38450300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38450309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 651671 + ... + 651729.

Almost surely, 238450300 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 38450300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080000).

38450300 is an abundant number, since it is smaller than the sum of its proper divisors (65709700).

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

38450300 is a wasteful number, since it uses less digits than its factorization.

38450300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 38450300 is about 6200.8305895259. The cubic root of 38450300 is about 337.5203097060.

Adding to 38450300 its reverse (305483), we get a palindrome (38755783).

The spelling of 38450300 in words is "thirty-eight million, four hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 59 70 76 95 98 100 118 133 140 175 190 196 236 245 266 295 343 350 380 413 475 490 532 590 665 686 700 826 931 950 980 1121 1180 1225 1330 1372 1475 1652 1715 1862 1900 2065 2242 2450 2660 2891 2950 3325 3430 3724 4130 4484 4655 4900 5605 5782 5900 6517 6650 6860 7847 8260 8575 9310 10325 11210 11564 13034 13300 14455 15694 17150 18620 20237 20650 22420 23275 26068 28025 28910 31388 32585 34300 39235 40474 41300 46550 54929 56050 57820 65170 72275 78470 80948 93100 101185 109858 112100 130340 144550 156940 162925 196175 202370 219716 274645 289100 325850 384503 392350 404740 505925 549290 651700 769006 784700 1011850 1098580 1373225 1538012 1922515 2023700 2746450 3845030 5492900 7690060 9612575 19225150 38450300