Search a number
-
+
38726820 = 223251119559
BaseRepresentation
bin1001001110111…
…0110010100100
32200212112012200
42103232302210
534403224240
63502014500
7650113116
oct223566244
980775180
1038726820
111a951040
1210b77430
13803c1a2
1452013b6
1535ee930
hex24eeca4

38726820 has 72 divisors (see below), whose sum is σ = 128157120. Its totient is φ = 9387840.

The previous prime is 38726813. The next prime is 38726839. The reversal of 38726820 is 2862783.

It is a happy number.

38726820 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 (36).

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, 7800 + ... + 11759.

It is an arithmetic number, because the mean of its divisors is an integer number (1779960).

Almost surely, 238726820 is an apocalyptic number.

38726820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38726820 is an abundant number, since it is smaller than the sum of its proper divisors (89430300).

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

38726820 is a wasteful number, since it uses less digits than its factorization.

38726820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38726820 is about 6223.0876580681. The cubic root of 38726820 is about 338.3274839167.

The spelling of 38726820 in words is "thirty-eight million, seven hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 19559 39118 58677 78236 97795 117354 176031 195590 215149 234708 293385 352062 391180 430298 586770 645447 704124 860596 880155 1075745 1173540 1290894 1760310 1936341 2151490 2581788 3227235 3520620 3872682 4302980 6454470 7745364 9681705 12908940 19363410 38726820