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6661248 = 273111983
BaseRepresentation
bin11001011010010010000000
3110112102111220
4121122102000
53201124443
6354435040
7110422356
oct31322200
913472456
106661248
11383a770
122292a80
1314c2c89
14c557d6
158b8a83
hex65a480

6661248 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1889280.

The previous prime is 6661243. The next prime is 6661273. The reversal of 6661248 is 8421666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6661243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80215 + ... + 80297.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 26661248 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 6661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6661248 is an abundant number, since it is smaller than the sum of its proper divisors (13901952).

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

6661248 is a wasteful number, since it uses less digits than its factorization.

6661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6661248 is about 2580.9393638751. The cubic root of 6661248 is about 188.1562003490.

The spelling of 6661248 in words is "six million, six hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 83 88 96 114 128 132 152 166 176 192 209 228 249 264 304 332 352 384 418 456 498 528 608 627 664 704 836 912 913 996 1056 1216 1254 1328 1408 1577 1672 1824 1826 1992 2112 2432 2508 2656 2739 3154 3344 3648 3652 3984 4224 4731 5016 5312 5478 6308 6688 7296 7304 7968 9462 10032 10624 10956 12616 13376 14608 15936 17347 18924 20064 21912 25232 26752 29216 31872 34694 37848 40128 43824 50464 52041 58432 69388 75696 80256 87648 100928 104082 116864 138776 151392 175296 201856 208164 277552 302784 350592 416328 555104 605568 832656 1110208 1665312 2220416 3330624 6661248