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66398976 = 2832723179
BaseRepresentation
bin1111110101001…
…0101100000000
311121221102021100
43331102230000
5113444231401
610331054400
71434245010
oct375225400
9147842240
1066398976
1134531596
121a2a1400
13109aa747
148b65c40
155c68b86
hex3f52b00

66398976 has 216 divisors, whose sum is σ = 229582080. Its totient is φ = 18044928.

The previous prime is 66398971. The next prime is 66399001. The reversal of 66398976 is 67989366.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66398971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370855 + ... + 371033.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 266398976 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 66398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

66398976 is an abundant number, since it is smaller than the sum of its proper divisors (163183104).

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

66398976 is a wasteful number, since it uses less digits than its factorization.

66398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 66398976 is about 8148.5566820143. The cubic root of 66398976 is about 404.9366887774.

The spelling of 66398976 in words is "sixty-six million, three hundred ninety-eight thousand, nine hundred seventy-six".