Search a number
-
+
8290848 = 253671289
BaseRepresentation
bin11111101000001000100000
3120121012220110
4133220020200
54110301343
6453411320
7130320366
oct37501040
916535813
108290848
114753045
122939b40
131943937
14115b636
15adb833
hex7e8220

8290848 has 48 divisors (see below), whose sum is σ = 22105440. Its totient is φ = 2720256.

The previous prime is 8290837. The next prime is 8290861. The reversal of 8290848 is 8480928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5788 + ... + 7076.

It is an arithmetic number, because the mean of its divisors is an integer number (460530).

Almost surely, 28290848 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 8290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052720).

8290848 is an abundant number, since it is smaller than the sum of its proper divisors (13814592).

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

8290848 is a wasteful number, since it uses less digits than its factorization.

8290848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8290848 is about 2879.3832672987. The cubic root of 8290848 is about 202.3949401684.

The spelling of 8290848 in words is "eight million, two hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1289 1608 2144 2578 3216 3867 5156 6432 7734 10312 15468 20624 30936 41248 61872 86363 123744 172726 259089 345452 518178 690904 1036356 1381808 2072712 2763616 4145424 8290848