Search a number
-
+
38420500 = 2253431787
BaseRepresentation
bin1001001010010…
…0000000010100
32200021222000111
42102210000110
534313424000
63451252404
7644366056
oct222440024
980258014
1038420500
111a761988
1210a4a104
137c62931
1451618d6
15358dcba
hex24a4014

38420500 has 48 divisors (see below), whose sum is σ = 85909824. Its totient is φ = 15002400.

The previous prime is 38420497. The next prime is 38420507. The reversal of 38420500 is 502483.

It is a super-2 number, since 2×384205002 = 2952269640500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38420507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20607 + ... + 22393.

It is an arithmetic number, because the mean of its divisors is an integer number (1789788).

Almost surely, 238420500 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 38420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42954912).

38420500 is an abundant number, since it is smaller than the sum of its proper divisors (47489324).

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

38420500 is a wasteful number, since it uses less digits than its factorization.

38420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 38420500 is about 6198.4272198680. The cubic root of 38420500 is about 337.4330914461.

Adding to 38420500 its reverse (502483), we get a palindrome (38922983).

The spelling of 38420500 in words is "thirty-eight million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 1787 2150 3574 4300 5375 7148 8935 10750 17870 21500 35740 44675 76841 89350 153682 178700 223375 307364 384205 446750 768410 893500 1536820 1921025 3842050 7684100 9605125 19210250 38420500