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66743442 = 2322924409
BaseRepresentation
bin1111111010011…
…0110010010010
311122120220210100
43332212302102
5114041242232
610342313230
71440211203
oct376466222
9148526710
1066743442
1134747377
121a428816
1310a9b47c
148c155aa
155cd5c7c
hex3fa6c92

66743442 has 36 divisors (see below), whose sum is σ = 149803290. Its totient is φ = 21475776.

The previous prime is 66743437. The next prime is 66743461. The reversal of 66743442 is 24434766.

It can be written as a sum of positive squares in 3 ways, for example, as 44076321 + 22667121 = 6639^2 + 4761^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66743397 and 66743406.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12934 + ... + 17342.

Almost surely, 266743442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66743442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74901645).

66743442 is an abundant number, since it is smaller than the sum of its proper divisors (83059848).

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

66743442 is a wasteful number, since it uses less digits than its factorization.

66743442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4443 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 66743442 is about 8169.6659662437. The cubic root of 66743442 is about 405.6357276862.

The spelling of 66743442 in words is "sixty-six million, seven hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 4409 5046 7569 8818 13227 15138 26454 39681 79362 127861 255722 383583 767166 1150749 2301498 3707969 7415938 11123907 22247814 33371721 66743442