Search a number
-
+
38383560 = 23325106621
BaseRepresentation
bin1001001001101…
…0111111001000
32200020002100100
42102122333020
534311233220
63450405400
7644153265
oct222327710
980202310
1038383560
111a737156
1210a30860
137c4bb87
14515226c
153582d90
hex249afc8

38383560 has 48 divisors (see below), whose sum is σ = 124747740. Its totient is φ = 10235520.

The previous prime is 38383547. The next prime is 38383561. The reversal of 38383560 is 6538383.

38383560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38266596 + 116964 = 6186^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38383561) 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 11 ways as a sum of consecutive naturals, for example, 52951 + ... + 53670.

Almost surely, 238383560 is an apocalyptic number.

38383560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38383560 is an abundant number, since it is smaller than the sum of its proper divisors (86364180).

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

38383560 is a wasteful number, since it uses less digits than its factorization.

38383560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106638 (or 106631 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38383560 is about 6195.4467151288. The cubic root of 38383560 is about 337.3249133003.

The spelling of 38383560 in words is "thirty-eight million, three hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 106621 213242 319863 426484 533105 639726 852968 959589 1066210 1279452 1599315 1919178 2132420 2558904 3198630 3838356 4264840 4797945 6397260 7676712 9595890 12794520 19191780 38383560