Search a number
-
+
5278848 = 27359233
BaseRepresentation
bin10100001000110010000000
3100221012012220
4110020302000
52322410343
6305051040
762604141
oct24106200
910835186
105278848
112a86093
121926a80
13112a9a3
149b5ac8
156e4183
hex508c80

5278848 has 64 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1722368.

The previous prime is 5278843. The next prime is 5278877. The reversal of 5278848 is 8488725.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5278843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22540 + ... + 22772.

Almost surely, 25278848 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 5278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

5278848 is an abundant number, since it is smaller than the sum of its proper divisors (9041952).

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

5278848 is a wasteful number, since it uses less digits than its factorization.

5278848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 5278848 is about 2297.5743731161. The cubic root of 5278848 is about 174.1190887748.

It can be divided in two parts, 5278 and 848, that multiplied together give a palindrome (4475744).

The spelling of 5278848 in words is "five million, two hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 233 236 354 384 466 472 699 708 932 944 1398 1416 1864 1888 2796 2832 3728 3776 5592 5664 7456 7552 11184 11328 13747 14912 22368 22656 27494 29824 41241 44736 54988 82482 89472 109976 164964 219952 329928 439904 659856 879808 1319712 1759616 2639424 5278848