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66883284 = 223213241593
BaseRepresentation
bin1111111100100…
…0111011010100
311122212000121200
43333020323110
5114110231114
610345312500
71441332666
oct377107324
9148760550
1066883284
1134832446
121a495730
1310b1a010
148c50536
155d12409
hex3fc8ed4

66883284 has 72 divisors (see below), whose sum is σ = 183134952. Its totient is φ = 20459520.

The previous prime is 66883283. The next prime is 66883291. The reversal of 66883284 is 48238866.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9548100 + 57335184 = 3090^2 + 7572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66883283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112492 + ... + 113084.

It is an arithmetic number, because the mean of its divisors is an integer number (2543541).

Almost surely, 266883284 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 66883284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91567476).

66883284 is an abundant number, since it is smaller than the sum of its proper divisors (116251668).

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

66883284 is a wasteful number, since it uses less digits than its factorization.

66883284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 66883284 is about 8178.2200997528. The cubic root of 66883284 is about 405.9188283614.

The spelling of 66883284 in words is "sixty-six million, eight hundred eighty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 593 723 964 1186 1446 1779 2169 2372 2892 3133 3558 4338 5337 6266 7116 7709 8676 9399 10674 12532 15418 18798 21348 23127 28197 30836 37596 46254 56394 69381 92508 112788 138762 142913 277524 285826 428739 571652 857478 1286217 1714956 1857869 2572434 3715738 5144868 5573607 7431476 11147214 16720821 22294428 33441642 66883284