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66412392 = 23353109479
BaseRepresentation
bin1111110101010…
…1111101101000
311121222002200020
43331111331220
5114000144032
610331240440
71434332064
oct375257550
9147862606
1066412392
1134540682
121a2a9120
13109b3897
148b6aaa4
155c6cb2c
hex3f55f68

66412392 has 64 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 21475584.

The previous prime is 66412337. The next prime is 66412397. The reversal of 66412392 is 29321466.

It is a super-2 number, since 2×664123922 = 8821211622323328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66412397) 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, 138409 + ... + 138887.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 266412392 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 66412392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

66412392 is an abundant number, since it is smaller than the sum of its proper divisors (104659608).

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

66412392 is a wasteful number, since it uses less digits than its factorization.

66412392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 66412392 is about 8149.3798537067. The cubic root of 66412392 is about 404.9639596035.

The spelling of 66412392 in words is "sixty-six million, four hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 109 159 212 218 318 327 424 436 479 636 654 872 958 1272 1308 1437 1916 2616 2874 3832 5748 5777 11496 11554 17331 23108 25387 34662 46216 50774 52211 69324 76161 101548 104422 138648 152322 156633 203096 208844 304644 313266 417688 609288 626532 1253064 2767183 5534366 8301549 11068732 16603098 22137464 33206196 66412392