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66839328 = 2532232081
BaseRepresentation
bin1111111011111…
…0001100100000
311122202210022200
43332332030200
5114102324303
610344333200
71441060563
oct376761440
9148683280
1066839328
1134802416
121a474200
1310b02cca
148c3c4da
155d043a3
hex3fbe320

66839328 has 36 divisors (see below), whose sum is σ = 190075158. Its totient is φ = 22279680.

The previous prime is 66839327. The next prime is 66839351. The reversal of 66839328 is 82393866.

It can be written as a sum of positive squares in only one way, i.e., 39087504 + 27751824 = 6252^2 + 5268^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66839327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115753 + ... + 116328.

Almost surely, 266839328 is an apocalyptic number.

It is an amenable number.

66839328 is an abundant number, since it is smaller than the sum of its proper divisors (123235830).

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

66839328 is a wasteful number, since it uses less digits than its factorization.

66839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232097 (or 232086 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 66839328 is about 8175.5322762497. The cubic root of 66839328 is about 405.8298849707.

The spelling of 66839328 in words is "sixty-six million, eight hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 232081 464162 696243 928324 1392486 1856648 2088729 2784972 3713296 4177458 5569944 7426592 8354916 11139888 16709832 22279776 33419664 66839328