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65286468 = 223213139501
BaseRepresentation
bin1111100100001…
…1000101000100
311112211220012100
43321003011010
5113203131333
610251152100
71421632362
oct371030504
9145756170
1065286468
1133941765
1219a45630
13106ab260
148956632
155ae9213
hex3e43144

65286468 has 36 divisors (see below), whose sum is σ = 177725548. Its totient is φ = 20088000.

The previous prime is 65286461. The next prime is 65286503. The reversal of 65286468 is 86468256.

65286468 is a `hidden beast` number, since 6 + 528 + 64 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 28708164 = 6048^2 + 5358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (65286461) 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 11 ways as a sum of consecutive naturals, for example, 69283 + ... + 70218.

Almost surely, 265286468 is an apocalyptic number.

It is an amenable number.

65286468 is an abundant number, since it is smaller than the sum of its proper divisors (112439080).

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

65286468 is a wasteful number, since it uses less digits than its factorization.

65286468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139524 (or 139519 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 65286468 is about 8080.0042079197. The cubic root of 65286468 is about 402.6623816604.

It can be divided in two parts, 6528 and 6468, that added together give a square (12996 = 1142).

The spelling of 65286468 in words is "sixty-five million, two hundred eighty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 139501 279002 418503 558004 837006 1255509 1674012 1813513 2511018 3627026 5022036 5440539 7254052 10881078 16321617 21762156 32643234 65286468