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65244168 = 23321127489
BaseRepresentation
bin1111100011100…
…0110000001000
311112202202011200
43320320300020
5113200303133
610250224200
71421365143
oct370706010
9145682150
1065244168
1133912a00
1219a25060
1310694c22
14894505a
155adb913
hex3e38c08

65244168 has 72 divisors (see below), whose sum is σ = 194253150. Its totient is φ = 19768320.

The previous prime is 65244167. The next prime is 65244199. The reversal of 65244168 is 86144256.

It can be written as a sum of positive squares in only one way, i.e., 55621764 + 9622404 = 7458^2 + 3102^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65244163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4968 + ... + 12456.

Almost surely, 265244168 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 65244168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97126575).

65244168 is an abundant number, since it is smaller than the sum of its proper divisors (129008982).

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

65244168 is a wasteful number, since it uses less digits than its factorization.

65244168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7505 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 65244168 is about 8077.3862108977. The cubic root of 65244168 is about 402.5753993747.

The spelling of 65244168 in words is "sixty-five million, two hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 7489 8712 14978 22467 29956 44934 59912 67401 82379 89868 134802 164758 179736 247137 269604 329516 494274 539208 659032 741411 906169 988548 1482822 1812338 1977096 2718507 2965644 3624676 5437014 5931288 7249352 8155521 10874028 16311042 21748056 32622084 65244168