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66449448 = 233213243127
BaseRepresentation
bin1111110101111…
…1000000101000
311122000222111200
43331133000220
5114002340243
610332124200
71434545112
oct375370050
9148028450
1066449448
11345664aa
121a306660
13109c7700
148b7a3b2
155c78ad3
hex3f5f028

66449448 has 144 divisors (see below), whose sum is σ = 200977920. Its totient is φ = 19813248.

The previous prime is 66449437. The next prime is 66449497. The reversal of 66449448 is 84494466.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523161 + ... + 523287.

It is an arithmetic number, because the mean of its divisors is an integer number (1395680).

Almost surely, 266449448 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 66449448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100488960).

66449448 is an abundant number, since it is smaller than the sum of its proper divisors (134528472).

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

66449448 is a wasteful number, since it uses less digits than its factorization.

66449448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 66449448 is about 8151.6530838843. The cubic root of 66449448 is about 405.0392645974.

The spelling of 66449448 in words is "sixty-six million, four hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 127 129 156 169 172 234 254 258 312 338 344 381 387 468 507 508 516 559 676 762 774 936 1014 1016 1032 1118 1143 1352 1521 1524 1548 1651 1677 2028 2236 2286 3042 3048 3096 3302 3354 4056 4472 4572 4953 5031 5461 6084 6604 6708 7267 9144 9906 10062 10922 12168 13208 13416 14534 14859 16383 19812 20124 21463 21801 21844 29068 29718 32766 39624 40248 42926 43602 43688 49149 58136 59436 64389 65403 65532 70993 85852 87204 98298 118872 128778 130806 131064 141986 171704 174408 193167 196596 212979 257556 261612 283972 386334 393192 425958 515112 523224 567944 638937 772668 851916 922909 1277874 1545336 1703832 1845818 2555748 2768727 3691636 5111496 5537454 7383272 8306181 11074908 16612362 22149816 33224724 66449448