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66939392 = 291389113
BaseRepresentation
bin1111111101011…
…0101000000000
311122221212120202
43333112220000
5114114030032
610350424332
71441655402
oct377265000
9148855522
1066939392
1134870613
121a5020a8
1310b39710
148c66b72
155d23d62
hex3fd6a00

66939392 has 80 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 30277632.

The previous prime is 66939311. The next prime is 66939403. The reversal of 66939392 is 29393966.

66939392 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 4 ways, for example, as 14868736 + 52070656 = 3856^2 + 7216^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 592328 + ... + 592440.

Almost surely, 266939392 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 66939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

66939392 is an abundant number, since it is smaller than the sum of its proper divisors (80004328).

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

66939392 is a wasteful number, since it uses less digits than its factorization.

66939392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 472392, while the sum is 47.

The square root of 66939392 is about 8181.6497113968. The cubic root of 66939392 is about 406.0323042881.

The spelling of 66939392 in words is "sixty-six million, nine hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 113 128 178 208 226 256 356 416 452 512 712 832 904 1157 1424 1469 1664 1808 2314 2848 2938 3328 3616 4628 5696 5876 6656 7232 9256 10057 11392 11752 14464 18512 20114 22784 23504 28928 37024 40228 45568 47008 57856 74048 80456 94016 130741 148096 160912 188032 261482 296192 321824 376064 522964 592384 643648 752128 1045928 1287296 2091856 2574592 4183712 5149184 8367424 16734848 33469696 66939392