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38198992 = 24131031783
BaseRepresentation
bin1001000110110…
…1111011010000
32122212201011111
42101231323100
534234331432
63442423104
7642454216
oct221557320
978781144
1038198992
111a620517
1210961a94
137bb5b70
145104cb6
153548347
hex246ded0

38198992 has 40 divisors (see below), whose sum is σ = 80522624. Its totient is φ = 17449344.

The previous prime is 38198989. The next prime is 38198999. The reversal of 38198992 is 29989183.

38198992 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 (38198999) 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 7 ways as a sum of consecutive naturals, for example, 20533 + ... + 22315.

Almost surely, 238198992 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 38198992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40261312).

38198992 is an abundant number, since it is smaller than the sum of its proper divisors (42323632).

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

38198992 is a wasteful number, since it uses less digits than its factorization.

38198992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its digits is 279936, while the sum is 49.

The square root of 38198992 is about 6180.5333103220. The cubic root of 38198992 is about 336.7833668343.

The spelling of 38198992 in words is "thirty-eight million, one hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1339 1648 1783 2678 3566 5356 7132 10712 14264 21424 23179 28528 46358 92716 183649 185432 367298 370864 734596 1469192 2387437 2938384 4774874 9549748 19099496 38198992