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66738492 = 22382543
BaseRepresentation
bin1111111010010…
…1100100111100
311122120200000000
43332211210330
5114041112432
610342234300
71440160602
oct376454474
9148520000
1066738492
1134743687
121a425990
1310a99142
148c13872
155cd457c
hex3fa593c

66738492 has 54 divisors (see below), whose sum is σ = 175248528. Its totient is φ = 22237416.

The previous prime is 66738473. The next prime is 66738493. The reversal of 66738492 is 29483766.

It is a tau number, because it is divible by the number of its divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66738493) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24973 + ... + 27515.

Almost surely, 266738492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66738492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87624264).

66738492 is an abundant number, since it is smaller than the sum of its proper divisors (108510036).

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

66738492 is an equidigital number, since it uses as much as digits as its factorization.

66738492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2548 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 66738492 is about 8169.3630106637. The cubic root of 66738492 is about 405.6256995025.

The spelling of 66738492 in words is "sixty-six million, seven hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2543 2916 4374 5086 6561 7629 8748 10172 13122 15258 22887 26244 30516 45774 68661 91548 137322 205983 274644 411966 617949 823932 1235898 1853847 2471796 3707694 5561541 7415388 11123082 16684623 22246164 33369246 66738492