Search a number
-
+
38009000 = 2353191199
BaseRepresentation
bin1001000011111…
…1100010101000
32122112001112202
42100333202220
534212242000
63434355332
7641033261
oct220774250
978461482
1038009000
111a5007a7
121088bb48
137b4a543
145095968
15350bdd5
hex243f8a8

38009000 has 64 divisors (see below), whose sum is σ = 89856000. Its totient is φ = 15048000.

The previous prime is 38008981. The next prime is 38009011. The reversal of 38009000 is 90083.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190901 + ... + 191099.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 238009000 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 38009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928000).

38009000 is an abundant number, since it is smaller than the sum of its proper divisors (51847000).

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

38009000 is a wasteful number, since it uses less digits than its factorization.

38009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 38009000 is about 6165.1439561457. The cubic root of 38009000 is about 336.2240804959.

Adding to 38009000 its reverse (90083), we get a palindrome (38099083).

The spelling of 38009000 in words is "thirty-eight million, nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 199 200 250 382 398 500 764 796 955 995 1000 1528 1592 1910 1990 3820 3980 4775 4975 7640 7960 9550 9950 19100 19900 23875 24875 38009 38200 39800 47750 49750 76018 95500 99500 152036 190045 191000 199000 304072 380090 760180 950225 1520360 1900450 3800900 4751125 7601800 9502250 19004500 38009000