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66428240 = 245830353
BaseRepresentation
bin1111110101100…
…1110101010000
311121222220102012
43331121311100
5114001200430
610331442052
71434426224
oct375316520
9147886365
1066428240
113455157a
121a2b6328
13109bab68
148b72784
155c72695
hex3f59d50

66428240 has 20 divisors (see below), whose sum is σ = 154445844. Its totient is φ = 26571264.

The previous prime is 66428233. The next prime is 66428251. The reversal of 66428240 is 4282466.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17372224 + 49056016 = 4168^2 + 7004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×664282402 = 8825422138995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66428197 and 66428206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 415097 + ... + 415256.

Almost surely, 266428240 is an apocalyptic number.

It is an amenable number.

66428240 is an abundant number, since it is smaller than the sum of its proper divisors (88017604).

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

66428240 is a wasteful number, since it uses less digits than its factorization.

66428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830366 (or 830360 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 66428240 is about 8150.3521396318. The cubic root of 66428240 is about 404.9961692469.

It can be divided in two parts, 6 and 6428240, that added together give a palindrome (6428246).

The spelling of 66428240 in words is "sixty-six million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 830353 1660706 3321412 4151765 6642824 8303530 13285648 16607060 33214120 66428240