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66628400 = 2452166571
BaseRepresentation
bin1111111000101…
…0101100110000
311122101001222112
43332022230300
5114024102100
610340024452
71436221616
oct376125460
9148331875
1066628400
11346789a3
121a392128
1310a5acb7
148bc56b6
155cb1b35
hex3f8ab30

66628400 has 30 divisors (see below), whose sum is σ = 160075692. Its totient is φ = 26651200.

The previous prime is 66628381. The next prime is 66628417. The reversal of 66628400 is 482666.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82886 + ... + 83685.

Almost surely, 266628400 is an apocalyptic number.

It is an amenable number.

66628400 is an abundant number, since it is smaller than the sum of its proper divisors (93447292).

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

66628400 is a wasteful number, since it uses less digits than its factorization.

66628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166589 (or 166578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66628400 is about 8162.6221277234. The cubic root of 66628400 is about 405.4025363240.

The spelling of 66628400 in words is "sixty-six million, six hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 166571 333142 666284 832855 1332568 1665710 2665136 3331420 4164275 6662840 8328550 13325680 16657100 33314200 66628400