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66450048 = 273759419
BaseRepresentation
bin1111110101111…
…1001010000000
311122001000022220
43331133022000
5114002400143
610332131040
71434546630
oct375371200
9148030286
1066450048
11345669a5
121a306a80
13109c7a72
148b7a6c0
155c78d83
hex3f5f280

66450048 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 18619392.

The previous prime is 66450029. The next prime is 66450061. The reversal of 66450048 is 84005466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158383 + ... + 158801.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 266450048 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 66450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

66450048 is an abundant number, since it is smaller than the sum of its proper divisors (139181952).

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

66450048 is a wasteful number, since it uses less digits than its factorization.

66450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 66450048 is about 8151.6898861524. The cubic root of 66450048 is about 405.0404836837.

The spelling of 66450048 in words is "sixty-six million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 336 354 384 413 419 448 472 672 708 826 838 896 944 1239 1257 1344 1416 1652 1676 1888 2478 2514 2688 2832 2933 3304 3352 3776 4956 5028 5664 5866 6608 6704 7552 8799 9912 10056 11328 11732 13216 13408 17598 19824 20112 22656 23464 24721 26432 26816 35196 39648 40224 46928 49442 52864 53632 70392 74163 79296 80448 93856 98884 140784 148326 158592 160896 173047 187712 197768 281568 296652 346094 375424 395536 519141 563136 593304 692188 791072 1038282 1126272 1186608 1384376 1582144 2076564 2373216 2768752 3164288 4153128 4746432 5537504 8306256 9492864 11075008 16612512 22150016 33225024 66450048