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66928256 = 2731101167
BaseRepresentation
bin1111111101001…
…1111010000000
311122221022022022
43333103322000
5114113201011
610350301012
71441611053
oct377237200
9148838268
1066928256
113486320a
121a4b7768
1310b34625
148c62a9a
155d208db
hex3fd3e80

66928256 has 64 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 31872000.

The previous prime is 66928231. The next prime is 66928261. The reversal of 66928256 is 65282966.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400685 + ... + 400851.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840).

Almost surely, 266928256 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 66928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

66928256 is an abundant number, since it is smaller than the sum of its proper divisors (72901504).

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

66928256 is a wasteful number, since it uses less digits than its factorization.

66928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 66928256 is about 8180.9691357442. The cubic root of 66928256 is about 406.0097872700.

The spelling of 66928256 in words is "sixty-six million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 128 167 202 248 334 404 496 668 808 992 1336 1616 1984 2672 3131 3232 3968 5177 5344 6262 6464 10354 10688 12524 12928 16867 20708 21376 25048 33734 41416 50096 67468 82832 100192 134936 165664 200384 269872 331328 400768 522877 539744 662656 1045754 1079488 2091508 2158976 4183016 8366032 16732064 33464128 66928256