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66448104 = 23317237397
BaseRepresentation
bin1111110101111…
…0101011101000
311122000220122220
43331132223220
5114002314404
610332114040
71434541152
oct375365350
9148026586
1066448104
1134565498
121a305920
13109c6c08
148b79ad2
155c784d9
hex3f5eae8

66448104 has 128 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 19464192.

The previous prime is 66448069. The next prime is 66448133. The reversal of 66448104 is 40184466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684984 + ... + 685080.

It is an arithmetic number, because the mean of its divisors is an integer number (1468530).

Almost surely, 266448104 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 66448104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985920).

66448104 is an abundant number, since it is smaller than the sum of its proper divisors (121523736).

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

66448104 is a wasteful number, since it uses less digits than its factorization.

66448104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 66448104 is about 8151.5706462006. The cubic root of 66448104 is about 405.0365338175.

The spelling of 66448104 in words is "sixty-six million, four hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 73 92 97 102 136 138 146 184 194 204 219 276 291 292 388 391 408 438 552 582 584 776 782 876 1164 1173 1241 1564 1649 1679 1752 2231 2328 2346 2482 3128 3298 3358 3723 4462 4692 4947 4964 5037 6596 6693 6716 7081 7446 8924 9384 9894 9928 10074 13192 13386 13432 14162 14892 17848 19788 20148 21243 26772 28324 28543 29784 37927 39576 40296 42486 53544 56648 57086 75854 84972 85629 113781 114172 120377 151708 162863 169944 171258 227562 228344 240754 303416 325726 342516 361131 455124 481508 488589 651452 685032 722262 910248 963016 977178 1302904 1444524 1954356 2768671 2889048 3908712 5537342 8306013 11074684 16612026 22149368 33224052 66448104