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66324816 = 2432460589
BaseRepresentation
bin1111110100000…
…0100101010000
311121210122112200
43331000211100
5113434343231
610325323200
71433515545
oct375004520
9147718480
1066324816
11344908a8
121a266500
1310982a6c
148b46bcc
155c51be6
hex3f40950

66324816 has 30 divisors (see below), whose sum is σ = 185617770. Its totient is φ = 22108224.

The previous prime is 66324809. The next prime is 66324833. The reversal of 66324816 is 61842366.

66324816 is a `hidden beast` number, since 6 + 632 + 4 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38192400 + 28132416 = 6180^2 + 5304^2 .

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

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 230151 + ... + 230438.

It is an arithmetic number, because the mean of its divisors is an integer number (6187259).

Almost surely, 266324816 is an apocalyptic number.

It is an amenable number.

66324816 is an abundant number, since it is smaller than the sum of its proper divisors (119292954).

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

66324816 is a wasteful number, since it uses less digits than its factorization.

66324816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460603 (or 460594 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66324816 is about 8144.0049115899. The cubic root of 66324816 is about 404.7858767537.

The spelling of 66324816 in words is "sixty-six million, three hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 460589 921178 1381767 1842356 2763534 3684712 4145301 5527068 7369424 8290602 11054136 16581204 22108272 33162408 66324816