Search a number
-
+
38382150 = 235241792
BaseRepresentation
bin1001001001101…
…0101001000110
32200020000102010
42102122221012
534311212100
63450355050
7644146212
oct222325106
980200363
1038382150
111a736094
1210a2ba86
137c4b341
145151942
153582750
hex249aa46

38382150 has 72 divisors (see below), whose sum is σ = 98759304. Its totient is φ = 9859200.

The previous prime is 38382143. The next prime is 38382151. The reversal of 38382150 is 5128383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38382151) 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 35 ways as a sum of consecutive naturals, for example, 485811 + ... + 485889.

It is an arithmetic number, because the mean of its divisors is an integer number (1371657).

Almost surely, 238382150 is an apocalyptic number.

38382150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38382150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49379652).

38382150 is an abundant number, since it is smaller than the sum of its proper divisors (60377154).

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

38382150 is a wasteful number, since it uses less digits than its factorization.

38382150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38382150 is about 6195.3329208365. The cubic root of 38382150 is about 337.3207827649.

The spelling of 38382150 in words is "thirty-eight million, three hundred eighty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 79 82 123 150 158 205 237 246 395 410 474 615 790 1025 1185 1230 1975 2050 2370 3075 3239 3950 5925 6150 6241 6478 9717 11850 12482 16195 18723 19434 31205 32390 37446 48585 62410 80975 93615 97170 156025 161950 187230 242925 255881 312050 468075 485850 511762 767643 936150 1279405 1535286 2558810 3838215 6397025 7676430 12794050 19191075 38382150