Search a number
-
+
65381382 = 2321132729
BaseRepresentation
bin1111100101101…
…0010000000110
311120000201101200
43321122100012
5113214201012
610253203330
71422506163
oct371322006
9146021350
1065381382
11339a7000
1219a90546
1310712511
14897d06a
155b173dc
hex3e5a406

65381382 has 48 divisors (see below), whose sum is σ = 155872080. Its totient is φ = 19805280.

The previous prime is 65381377. The next prime is 65381389. The reversal of 65381382 is 28318356.

It is a super-2 number, since 2×653813822 = 8549450224459848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65381389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22594 + ... + 25322.

It is an arithmetic number, because the mean of its divisors is an integer number (3247335).

Almost surely, 265381382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65381382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77936040).

65381382 is an abundant number, since it is smaller than the sum of its proper divisors (90490698).

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

65381382 is a wasteful number, since it uses less digits than its factorization.

65381382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2745 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 65381382 is about 8085.8754628055. The cubic root of 65381382 is about 402.8574184611.

The spelling of 65381382 in words is "sixty-five million, three hundred eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 2729 3993 5458 7986 8187 11979 16374 23958 24561 30019 49122 60038 90057 180114 270171 330209 540342 660418 990627 1981254 2971881 3632299 5943762 7264598 10896897 21793794 32690691 65381382