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66288431 = 11411031427
BaseRepresentation
bin1111110011011…
…1101100101111
311121201210122002
43330313230233
5113432212211
610324442515
71433304506
oct374675457
9147653562
1066288431
1134466530
121a24943b
131096c331
148b3783d
155c4603b
hex3f37b2f

66288431 has 16 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 58180800.

The previous prime is 66288379. The next prime is 66288433. The reversal of 66288431 is 13488266.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 66288431 - 26 = 66288367 is a prime.

It is a super-2 number, since 2×662884312 = 8788312168883522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66288433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45740 + ... + 47166.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 266288431 is an apocalyptic number.

66288431 is a deficient number, since it is larger than the sum of its proper divisors (8561617).

66288431 is a wasteful number, since it uses less digits than its factorization.

66288431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582.

The product of its digits is 55296, while the sum is 38.

The square root of 66288431 is about 8141.7707533435. The cubic root of 66288431 is about 404.7118429854.

The spelling of 66288431 in words is "sixty-six million, two hundred eighty-eight thousand, four hundred thirty-one".

Divisors: 1 11 41 103 451 1133 1427 4223 15697 46453 58507 146981 643577 1616791 6026221 66288431