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65411412 = 223113759227
BaseRepresentation
bin1111100110000…
…1100101010100
311120002020120220
43321201211110
5113221131122
610253554340
71422662553
oct371414524
9146066526
1065411412
1133a17620
1219aa59b0
13107230a1
148989d9a
155b2125c
hex3e61954

65411412 has 96 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 18875520.

The previous prime is 65411407. The next prime is 65411417. The reversal of 65411412 is 21411456.

It is a happy number.

65411412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65411407) and next prime (65411417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65411417) 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 31 ways as a sum of consecutive naturals, for example, 288043 + ... + 288269.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 265411412 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 65411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

65411412 is an abundant number, since it is smaller than the sum of its proper divisors (109254828).

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

65411412 is a wasteful number, since it uses less digits than its factorization.

65411412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 65411412 is about 8087.7321914119. The cubic root of 65411412 is about 402.9190871716.

Adding to 65411412 its reverse (21411456), we get a palindrome (86822868).

The spelling of 65411412 in words is "sixty-five million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 59 66 74 111 118 132 148 177 222 227 236 354 407 444 454 649 681 708 814 908 1221 1298 1362 1628 1947 2183 2442 2497 2596 2724 3894 4366 4884 4994 6549 7491 7788 8399 8732 9988 13098 13393 14982 16798 24013 25197 26196 26786 29964 33596 40179 48026 50394 53572 72039 80358 92389 96052 100788 144078 147323 160716 184778 277167 288156 294646 369556 441969 495541 554334 589292 883938 991082 1108668 1486623 1767876 1982164 2973246 5450951 5946492 10901902 16352853 21803804 32705706 65411412