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66528480 = 25351731263
BaseRepresentation
bin1111110111001…
…0010011100000
311122011222220210
43331302103200
5114012402410
610333534120
71435324404
oct375622340
9148158823
1066528480
113460a917
121a344340
1310a24685
148b9b104
155c92220
hex3f724e0

66528480 has 192 divisors, whose sum is σ = 229920768. Its totient is φ = 16097280.

The previous prime is 66528467. The next prime is 66528503. The reversal of 66528480 is 8482566.

It is a super-2 number, since 2×665284802 = 8852077302220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252829 + ... + 253091.

It is an arithmetic number, because the mean of its divisors is an integer number (1197504).

Almost surely, 266528480 is an apocalyptic number.

66528480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

66528480 is an abundant number, since it is smaller than the sum of its proper divisors (163392288).

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

66528480 is a wasteful number, since it uses less digits than its factorization.

66528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 66528480 is about 8156.4992490651. The cubic root of 66528480 is about 405.1997795034.

The spelling of 66528480 in words is "sixty-six million, five hundred twenty-eight thousand, four hundred eighty".