Search a number
-
+
655248 = 243111773
BaseRepresentation
bin10011111111110010000
31020021211110
42133332100
5131431443
622013320
75366226
oct2377620
91207743
10655248
11408330
12277240
1319c329
14130b16
15ce233
hex9ff90

655248 has 80 divisors (see below), whose sum is σ = 1982016. Its totient is φ = 184320.

The previous prime is 655243. The next prime is 655261. The reversal of 655248 is 842556.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 655248.

It is not an unprimeable number, because it can be changed into a prime (655241) by changing a digit.

655248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8940 + ... + 9012.

655248 is a Friedman number, since it can be written as (5*4^8-56)*2, using all its digits and the basic arithmetic operations.

2655248 is an apocalyptic number.

655248 is a gapful number since it is divisible by the number (68) 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 655248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991008).

655248 is an abundant number, since it is smaller than the sum of its proper divisors (1326768).

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

655248 is a wasteful number, since it uses less digits than its factorization.

655248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 655248 is about 809.4739032236. The cubic root of 655248 is about 86.8564152920.

It can be divided in two parts, 655 and 248, that added together give a triangular number (903 = T42).

The spelling of 655248 in words is "six hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 73 88 102 132 136 146 176 187 204 219 264 272 292 374 408 438 528 561 584 748 803 816 876 1122 1168 1241 1496 1606 1752 2244 2409 2482 2992 3212 3504 3723 4488 4818 4964 6424 7446 8976 9636 9928 12848 13651 14892 19272 19856 27302 29784 38544 40953 54604 59568 81906 109208 163812 218416 327624 655248