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66466848 = 253798909
BaseRepresentation
bin1111110110001…
…1010000100000
311122001212101010
43331203100200
5114003414343
610332340520
71434646620
oct375432040
9148055333
1066466848
1134578588
121a314740
1310a025c6
148b82880
155c7dd33
hex3f63420

66466848 has 48 divisors (see below), whose sum is σ = 199402560. Its totient is φ = 18990336.

The previous prime is 66466801. The next prime is 66466859. The reversal of 66466848 is 84866466.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 66466797 and 66466806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48783 + ... + 50126.

It is an arithmetic number, because the mean of its divisors is an integer number (4154220).

Almost surely, 266466848 is an apocalyptic number.

It is an amenable number.

66466848 is an abundant number, since it is smaller than the sum of its proper divisors (132935712).

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

66466848 is a wasteful number, since it uses less digits than its factorization.

66466848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98929 (or 98921 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 66466848 is about 8152.7202822126. The cubic root of 66466848 is about 405.0746151200.

The spelling of 66466848 in words is "sixty-six million, four hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 98909 197818 296727 395636 593454 692363 791272 1186908 1384726 1582544 2077089 2373816 2769452 3165088 4154178 4747632 5538904 8308356 9495264 11077808 16616712 22155616 33233424 66466848