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66863824 = 24712829
BaseRepresentation
bin1111111100010…
…0001011010000
311122211000220221
43333010023100
5114104120244
610345042424
71441222156
oct377041320
9148730827
1066863824
1134819865
121a486414
1310b111c1
148c473d6
155d0b784
hex3fc42d0

66863824 has 30 divisors (see below), whose sum is σ = 131557490. Its totient is φ = 32921280.

The previous prime is 66863803. The next prime is 66863827. The reversal of 66863824 is 42836866.

66863824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 58798224 + 8065600 = 7668^2 + 2840^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66863827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80242 + ... + 81070.

Almost surely, 266863824 is an apocalyptic number.

It is an amenable number.

66863824 is a deficient number, since it is larger than the sum of its proper divisors (64693666).

66863824 is an equidigital number, since it uses as much as digits as its factorization.

66863824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 902 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 66863824 is about 8177.0302677684. The cubic root of 66863824 is about 405.8794565575.

The spelling of 66863824 in words is "sixty-six million, eight hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 71 142 284 568 829 1136 1658 3316 5041 6632 10082 13264 20164 40328 58859 80656 117718 235436 470872 941744 4178989 8357978 16715956 33431912 66863824