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66388104 = 2332922057
BaseRepresentation
bin1111110101000…
…0000010001000
311121220212100200
43331100002020
5113443404404
610330532200
71434201216
oct375200210
9147825320
1066388104
1134524402
121a297060
13109a5803
148b61cb6
155c65839
hex3f50088

66388104 has 24 divisors (see below), whose sum is σ = 179801310. Its totient is φ = 22129344.

The previous prime is 66388093. The next prime is 66388117. The reversal of 66388104 is 40188366.

It is a happy number.

66388104 is a `hidden beast` number, since 6 + 638 + 8 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59259204 + 7128900 = 7698^2 + 2670^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 460957 + ... + 461100.

Almost surely, 266388104 is an apocalyptic number.

It is an amenable number.

66388104 is an abundant number, since it is smaller than the sum of its proper divisors (113413206).

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

66388104 is a wasteful number, since it uses less digits than its factorization.

66388104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922069 (or 922062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 66388104 is about 8147.8895426975. The cubic root of 66388104 is about 404.9145864688.

The spelling of 66388104 in words is "sixty-six million, three hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 922057 1844114 2766171 3688228 5532342 7376456 8298513 11064684 16597026 22129368 33194052 66388104