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66451056 = 24372191487
BaseRepresentation
bin1111110101111…
…1011001110000
311122001001201020
43331133121300
5114002413211
610332135440
71434552600
oct375373160
9148031636
1066451056
1134567731
121a307580
13109c8369
148b7ac00
155c79306
hex3f5f670

66451056 has 120 divisors (see below), whose sum is σ = 210343680. Its totient is φ = 17974656.

The previous prime is 66451027. The next prime is 66451067. The reversal of 66451056 is 65015466.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43945 + ... + 45431.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 266451056 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 66451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

66451056 is an abundant number, since it is smaller than the sum of its proper divisors (143892624).

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

66451056 is a wasteful number, since it uses less digits than its factorization.

66451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 66451056 is about 8151.7517135889. The cubic root of 66451056 is about 405.0425317321.

The spelling of 66451056 in words is "sixty-six million, four hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1487 1596 1862 2128 2352 2793 2974 3192 3724 4461 5586 5948 6384 7448 8922 10409 11172 11896 14896 17844 20818 22344 23792 28253 31227 35688 41636 44688 56506 62454 71376 72863 83272 84759 113012 124908 145726 166544 169518 197771 218589 226024 249816 291452 339036 395542 437178 452048 499632 582904 593313 678072 791084 874356 1165808 1186626 1356144 1384397 1582168 1748712 2373252 2768794 3164336 3497424 4153191 4746504 5537588 8306382 9493008 11075176 16612764 22150352 33225528 66451056