Search a number
-
+
375241216 = 297214957
BaseRepresentation
bin10110010111011…
…011101000000000
3222011002020011211
4112113123220000
51232030204331
6101122415504
712204332500
oct2627335000
9864066154
10375241216
111828a5309
12a5801594
135c98312c
1437b9ba00
1522e228b1
hex165dba00

375241216 has 60 divisors (see below), whose sum is σ = 872215938. Its totient is φ = 160806912.

The previous prime is 375241213. The next prime is 375241253. The reversal of 375241216 is 612142573.

375241216 is digitally balanced in base 3, 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 only one way, i.e., 349839616 + 25401600 = 18704^2 + 5040^2 .

It is not an unprimeable number, because it can be changed into a prime (375241211) 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 5 ways as a sum of consecutive naturals, for example, 17610 + ... + 32566.

Almost surely, 2375241216 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 375241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436107969).

375241216 is an abundant number, since it is smaller than the sum of its proper divisors (496974722).

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

375241216 is an equidigital number, since it uses as much as digits as its factorization.

375241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14989 (or 14966 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 375241216 is about 19371.1439001418. The cubic root of 375241216 is about 721.2793714229.

Adding to 375241216 its reverse (612142573), we get a palindrome (987383789).

The spelling of 375241216 in words is "three hundred seventy-five million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 14957 25088 29914 59828 104699 119656 209398 239312 418796 478624 732893 837592 957248 1465786 1675184 1914496 2931572 3350368 3828992 5863144 6700736 7657984 11726288 13401472 23452576 26802944 46905152 53605888 93810304 187620608 375241216