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66979328 = 291329347
BaseRepresentation
bin1111111110000…
…0011000000000
311200000220100212
43333200120000
5114121314303
610351333252
71442213003
oct377403000
9150026325
1066979328
1134898619
121a521228
1310b51950
148c7753a
155d30ad8
hex3fe0600

66979328 has 80 divisors (see below), whose sum is σ = 149521680. Its totient is φ = 29761536.

The previous prime is 66979327. The next prime is 66979331. The reversal of 66979328 is 82397966.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66979327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192851 + ... + 193197.

It is an arithmetic number, because the mean of its divisors is an integer number (1869021).

Almost surely, 266979328 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 66979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74760840).

66979328 is an abundant number, since it is smaller than the sum of its proper divisors (82542352).

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

66979328 is a wasteful number, since it uses less digits than its factorization.

66979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 66979328 is about 8184.0899310797. The cubic root of 66979328 is about 406.1130344432.

It can be divided in two parts, 669 and 79328, that added together give a palindrome (79997).

The spelling of 66979328 in words is "sixty-six million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 347 377 416 464 512 694 754 832 928 1388 1508 1664 1856 2776 3016 3328 3712 4511 5552 6032 6656 7424 9022 10063 11104 12064 14848 18044 20126 22208 24128 36088 40252 44416 48256 72176 80504 88832 96512 130819 144352 161008 177664 193024 261638 288704 322016 523276 577408 644032 1046552 1154816 1288064 2093104 2309632 2576128 4186208 5152256 8372416 16744832 33489664 66979328