Search a number
-
+
38235204 = 22327712137
BaseRepresentation
bin1001000111011…
…0110001000100
32122221112211200
42101312301010
534242011304
63443302500
7642664620
oct221666104
978845750
1038235204
111a645747
121097aa30
137bc94a7
145114180
153553e39
hex2476c44

38235204 has 72 divisors (see below), whose sum is σ = 112065408. Its totient is φ = 10765440.

The previous prime is 38235187. The next prime is 38235209. The reversal of 38235204 is 40253283.

It is not an unprimeable number, because it can be changed into a prime (38235209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16824 + ... + 18960.

It is an arithmetic number, because the mean of its divisors is an integer number (1556464).

Almost surely, 238235204 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 38235204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56032704).

38235204 is an abundant number, since it is smaller than the sum of its proper divisors (73830204).

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

38235204 is a wasteful number, since it uses less digits than its factorization.

38235204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38235204 is about 6183.4621370232. The cubic root of 38235204 is about 336.8897548734.

Adding to 38235204 its reverse (40253283), we get a palindrome (78488487).

The spelling of 38235204 in words is "thirty-eight million, two hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2137 2556 2982 4274 4473 5964 6411 8548 8946 12822 14959 17892 19233 25644 29918 38466 44877 59836 76932 89754 134631 151727 179508 269262 303454 455181 538524 606908 910362 1062089 1365543 1820724 2124178 2731086 3186267 4248356 5462172 6372534 9558801 12745068 19117602 38235204