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65378466 = 23223672357
BaseRepresentation
bin1111100101100…
…1100010100010
311120000120101200
43321121202202
5113214102331
610253142030
71422464526
oct371314242
9146016350
1065378466
11339a489a
1219a8a916
13107110aa
14897bd86
155b165e6
hex3e598a2

65378466 has 48 divisors (see below), whose sum is σ = 150081984. Its totient is φ = 20525472.

The previous prime is 65378461. The next prime is 65378491. The reversal of 65378466 is 66487356.

65378466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65378461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26560 + ... + 28916.

It is an arithmetic number, because the mean of its divisors is an integer number (3126708).

Almost surely, 265378466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65378466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75040992).

65378466 is an abundant number, since it is smaller than the sum of its proper divisors (84703518).

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

65378466 is a wasteful number, since it uses less digits than its factorization.

65378466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2452 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 65378466 is about 8085.6951463681. The cubic root of 65378466 is about 402.8514292449.

The spelling of 65378466 in words is "sixty-five million, three hundred seventy-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 603 1206 1541 2357 3082 4623 4714 7071 9246 13869 14142 21213 27738 42426 54211 108422 157919 162633 315838 325266 473757 487899 947514 975798 1421271 2842542 3632137 7264274 10896411 21792822 32689233 65378466