Search a number
-
+
38199196 = 22719591217
BaseRepresentation
bin1001000110110…
…1111110011100
32122212201110001
42101231332130
534234333241
63442424044
7642454630
oct221557634
978781401
1038199196
111a620692
1210962024
137bb5c99
145104dc0
153548431
hex246df9c

38199196 has 48 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 15234048.

The previous prime is 38199193. The next prime is 38199211. The reversal of 38199196 is 69199183.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38199193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30780 + ... + 31996.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 238199196 is an apocalyptic number.

38199196 is the 3304-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38199196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924800).

38199196 is an abundant number, since it is smaller than the sum of its proper divisors (43650404).

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

38199196 is a wasteful number, since it uses less digits than its factorization.

38199196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its digits is 104976, while the sum is 46.

The square root of 38199196 is about 6180.5498137302. The cubic root of 38199196 is about 336.7839663587.

The spelling of 38199196 in words is "thirty-eight million, one hundred ninety-nine thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 826 1121 1217 1652 2242 2434 4484 4868 7847 8519 15694 17038 23123 31388 34076 46246 71803 92492 143606 161861 287212 323722 502621 647444 1005242 1364257 2010484 2728514 5457028 9549799 19099598 38199196