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38204020 = 22529199331
BaseRepresentation
bin1001000110111…
…1001001110100
32122212222001201
42101233021310
534240012040
63442502244
7642504661
oct221571164
978788051
1038204020
111a624278
1210964984
137bb823a
145106a68
153549a9a
hex246f274

38204020 has 48 divisors (see below), whose sum is σ = 83664000. Its totient is φ = 14636160.

The previous prime is 38203967. The next prime is 38204021. The reversal of 38204020 is 2040283.

It is a happy number.

38204020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38204021) 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 15 ways as a sum of consecutive naturals, for example, 115255 + ... + 115585.

It is an arithmetic number, because the mean of its divisors is an integer number (1743000).

Almost surely, 238204020 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 38204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41832000).

38204020 is an abundant number, since it is smaller than the sum of its proper divisors (45459980).

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

38204020 is a wasteful number, since it uses less digits than its factorization.

38204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 38204020 is about 6180.9400579524. The cubic root of 38204020 is about 336.7981427257.

The spelling of 38204020 in words is "thirty-eight million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 199 290 331 398 580 662 796 995 1324 1655 1990 3310 3980 5771 6620 9599 11542 19198 23084 28855 38396 47995 57710 65869 95990 115420 131738 191980 263476 329345 658690 1317380 1910201 3820402 7640804 9551005 19102010 38204020