Search a number
-
+
38563780 = 22541131359
BaseRepresentation
bin1001001100011…
…0111111000100
32200120020120011
42103012333010
534333020110
63454320004
7645533563
oct223067704
980506504
1038563780
111a84a5a2
1210ab9004
137cb2c08
14519bbda
1535bb48a
hex24c6fc4

38563780 has 48 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 14892800.

The previous prime is 38563751. The next prime is 38563799. The reversal of 38563780 is 8736583.

38563780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×385637806 (a number of 47 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107241 + ... + 107599.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 238563780 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 38563780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

38563780 is an abundant number, since it is smaller than the sum of its proper divisors (45261500).

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

38563780 is a wasteful number, since it uses less digits than its factorization.

38563780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 38563780 is about 6209.9742350512. The cubic root of 38563780 is about 337.8520295784.

The spelling of 38563780 in words is "thirty-eight million, five hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 359 410 524 655 718 820 1310 1436 1795 2620 3590 5371 7180 10742 14719 21484 26855 29438 47029 53710 58876 73595 94058 107420 147190 188116 235145 294380 470290 940580 1928189 3856378 7712756 9640945 19281890 38563780