Search a number
-
+
38189880 = 233553929
BaseRepresentation
bin1001000110101…
…1101100111000
32122212020200000
42101223230320
534234034010
63442313000
7642415521
oct221535470
978766600
1038189880
111a614693
1210958760
137bb1981
145101848
1535457c0
hex246bb38

38189880 has 96 divisors (see below), whose sum is σ = 128746800. Its totient is φ = 10181376.

The previous prime is 38189873. The next prime is 38189903. The reversal of 38189880 is 8898183.

38189880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 7756 + ... + 11684.

Almost surely, 238189880 is an apocalyptic number.

38189880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38189880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373400).

38189880 is an abundant number, since it is smaller than the sum of its proper divisors (90556920).

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

38189880 is a wasteful number, since it uses less digits than its factorization.

38189880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 38189880 is about 6179.7961131416. The cubic root of 38189880 is about 336.7565859000.

The spelling of 38189880 in words is "thirty-eight million, one hundred eighty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 3929 4860 7858 9720 11787 15716 19645 23574 31432 35361 39290 47148 58935 70722 78580 94296 106083 117870 141444 157160 176805 212166 235740 282888 318249 353610 424332 471480 530415 636498 707220 848664 954747 1060830 1272996 1414440 1591245 1909494 2121660 2545992 3182490 3818988 4243320 4773735 6364980 7637976 9547470 12729960 19094940 38189880