Search a number
-
+
3798272 = 2837401
BaseRepresentation
bin1110011111010100000000
321010222020202
432133110000
51433021042
6213224332
744166452
oct16372400
97128222
103798272
112164775
1213320a8
13a2caca
1470c2d2
15500632
hex39f500

3798272 has 36 divisors (see below), whose sum is σ = 7806036. Its totient is φ = 1843200.

The previous prime is 3798251. The next prime is 3798283. The reversal of 3798272 is 2728973.

3798272 is digitally balanced in base 5, 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 3625216 + 173056 = 1904^2 + 416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9272 + ... + 9672.

Almost surely, 23798272 is an apocalyptic number.

3798272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903018).

3798272 is an abundant number, since it is smaller than the sum of its proper divisors (4007764).

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

3798272 is an equidigital number, since it uses as much as digits as its factorization.

3798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 3798272 is about 1948.9155959148. The cubic root of 3798272 is about 156.0254177299.

The spelling of 3798272 in words is "three million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 401 592 802 1184 1604 2368 3208 4736 6416 9472 12832 14837 25664 29674 51328 59348 102656 118696 237392 474784 949568 1899136 3798272