Search a number
-
+
8255712 = 253233739
BaseRepresentation
bin11111011111100011100000
3120112102201010
4133133203200
54103140322
6452540520
7130113063
oct37374340
916472633
108255712
114729703
122921740
13193094a
14114c8da
15ad120c
hex7df8e0

8255712 has 48 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 2631552.

The previous prime is 8255711. The next prime is 8255713. The reversal of 8255712 is 2175528.

8255712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8255711) and next prime (8255713).

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

It is a d-powerful number, because it can be written as 8 + 220 + 55 + 58 + 78 + 1 + 220 .

It is a self number, because there is not a number n which added to its sum of digits gives 8255712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8255711) 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, 339 + ... + 4077.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 28255712 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 8255712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

8255712 is an abundant number, since it is smaller than the sum of its proper divisors (14363808).

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

8255712 is a wasteful number, since it uses less digits than its factorization.

8255712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3767 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 8255712 is about 2873.2754827896. The cubic root of 8255712 is about 202.1086237334.

The spelling of 8255712 in words is "eight million, two hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 3739 7478 11217 14956 22434 29912 44868 59824 85997 89736 119648 171994 179472 257991 343988 358944 515982 687976 1031964 1375952 2063928 2751904 4127856 8255712