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66673408 = 28377039
BaseRepresentation
bin1111111001010…
…1101100000000
311122110100201111
43332111230000
5114032022113
610341013104
71436500054
oct376255400
9148410644
1066673408
11346a979a
121a3b4194
1310a75629
148bd7c64
155cc013d
hex3f95b00

66673408 has 36 divisors (see below), whose sum is σ = 136702720. Its totient is φ = 32431104.

The previous prime is 66673403. The next prime is 66673423. The reversal of 66673408 is 80437666.

66673408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66673403) 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 3 ways as a sum of consecutive naturals, for example, 5953 + ... + 12991.

Almost surely, 266673408 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 66673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68351360).

66673408 is an abundant number, since it is smaller than the sum of its proper divisors (70029312).

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

66673408 is an equidigital number, since it uses as much as digits as its factorization.

66673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 66673408 is about 8165.3786195130. The cubic root of 66673408 is about 405.4937999613.

It can be divided in two parts, 66673 and 408, that added together give a square (67081 = 2592).

The spelling of 66673408 in words is "sixty-six million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 7039 9472 14078 28156 56312 112624 225248 260443 450496 520886 900992 1041772 1801984 2083544 4167088 8334176 16668352 33336704 66673408