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66808924 = 22713296329
BaseRepresentation
bin1111111011011…
…0110001011100
311122201020121121
43332312301130
5114100341144
610343540324
71440603130
oct376666134
9148636547
1066808924
1134791596
121a45a6a4
1310ac2210
148c313c0
155cea384
hex3fb6c5c

66808924 has 48 divisors (see below), whose sum is σ = 148881600. Its totient is φ = 25514496.

The previous prime is 66808919. The next prime is 66808927. The reversal of 66808924 is 42980866.

It is a happy number.

It is a super-3 number, since 3×668089243 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66808927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7392 + ... + 13720.

It is an arithmetic number, because the mean of its divisors is an integer number (3101700).

Almost surely, 266808924 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 66808924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74440800).

66808924 is an abundant number, since it is smaller than the sum of its proper divisors (82072676).

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

66808924 is a wasteful number, since it uses less digits than its factorization.

66808924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 66808924 is about 8173.6726139478. The cubic root of 66808924 is about 405.7683407493.

The spelling of 66808924 in words is "sixty-six million, eight hundred eight thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 5278 6329 10556 12658 25316 44303 82277 88606 164554 177212 183541 329108 367082 575939 734164 1151878 1284787 2303756 2386033 2569574 4772066 5139148 9544132 16702231 33404462 66808924