Search a number
-
+
66689392 = 24721121937
BaseRepresentation
bin1111111001100…
…1100101110000
311122111011122111
43332121211300
5114033030032
610341215104
71436564500
oct376314560
9148434574
1066689392
113470a800
121a401494
1310a7c9a3
148bdda00
155cc4c47
hex3f99970

66689392 has 180 divisors, whose sum is σ = 178608360. Its totient is φ = 23950080.

The previous prime is 66689383. The next prime is 66689393. The reversal of 66689392 is 29398666.

66689392 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66689393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1802398 + ... + 1802434.

Almost surely, 266689392 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 66689392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89304180).

66689392 is an abundant number, since it is smaller than the sum of its proper divisors (111918968).

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

66689392 is a wasteful number, since it uses less digits than its factorization.

66689392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 66689392 is about 8166.3573274747. The cubic root of 66689392 is about 405.5262011600.

It can be divided in two parts, 66689 and 392, that added together give a square (67081 = 2592).

The spelling of 66689392 in words is "sixty-six million, six hundred eighty-nine thousand, three hundred ninety-two".