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66448746 = 232713113359
BaseRepresentation
bin1111110101111…
…0110101101010
311122000221112200
43331132311222
5114002324441
610332121030
71434543060
oct375366552
9148027480
1066448746
1134565a21
121a306176
13109c72b0
148b7a030
155c787b6
hex3f5ed6a

66448746 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 17321472.

The previous prime is 66448727. The next prime is 66448751. The reversal of 66448746 is 64784466.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184915 + ... + 185273.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 266448746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66448746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

66448746 is an abundant number, since it is smaller than the sum of its proper divisors (112813974).

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

66448746 is a wasteful number, since it uses less digits than its factorization.

66448746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 66448746 is about 8151.6100250196. The cubic root of 66448746 is about 405.0378382572.

The spelling of 66448746 in words is "sixty-six million, four hundred forty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 113 117 126 182 226 234 273 339 359 546 678 718 791 819 1017 1077 1469 1582 1638 2034 2154 2373 2513 2938 3231 4407 4667 4746 5026 6462 7119 7539 8814 9334 10283 13221 14001 14238 15078 20566 22617 26442 28002 30849 32669 40567 42003 45234 61698 65338 81134 84006 92547 98007 121701 185094 196014 243402 283969 294021 365103 527371 567938 588042 730206 851907 1054742 1582113 1703814 2555721 3164226 3691597 4746339 5111442 7383194 9492678 11074791 22149582 33224373 66448746