Search a number
-
+
6197248 = 2121789
BaseRepresentation
bin10111101001000000000000
3102122212000201
4113221000000
53041302443
6340454544
7103450531
oct27510000
912585021
106197248
1135530a2
1220aa454
13138ca15
14b74688
1582634d
hex5e9000

6197248 has 52 divisors (see below), whose sum is σ = 13269420. Its totient is φ = 2883584.

The previous prime is 6197239. The next prime is 6197251. The reversal of 6197248 is 8427916.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 3211264 = 1728^2 + 1792^2 .

Its product of digits (24192) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69588 + ... + 69676.

Almost surely, 26197248 is an apocalyptic number.

6197248 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 6197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634710).

6197248 is an abundant number, since it is smaller than the sum of its proper divisors (7072172).

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

6197248 is an equidigital number, since it uses as much as digits as its factorization.

6197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 6197248 is about 2489.4272433634. The cubic root of 6197248 is about 183.6818699401.

The spelling of 6197248 in words is "six million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 256 272 356 512 544 712 1024 1088 1424 1513 2048 2176 2848 3026 4096 4352 5696 6052 8704 11392 12104 17408 22784 24208 34816 45568 48416 69632 91136 96832 182272 193664 364544 387328 774656 1549312 3098624 6197248