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66430848 = 2731115727
BaseRepresentation
bin1111110101101…
…0011110000000
311122000000222210
43331122132000
5114001241343
610331502120
71434436641
oct375323600
9148000883
1066430848
1134553530
121a2b7940
13109bc0c3
148b736c8
155c73333
hex3f5a780

66430848 has 64 divisors (see below), whose sum is σ = 192510720. Its totient is φ = 20129280.

The previous prime is 66430841. The next prime is 66430879. The reversal of 66430848 is 84803466.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66430841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3640 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (3007980).

Almost surely, 266430848 is an apocalyptic number.

It is an amenable number.

66430848 is an abundant number, since it is smaller than the sum of its proper divisors (126079872).

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

66430848 is a wasteful number, since it uses less digits than its factorization.

66430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 66430848 is about 8150.5121311486. The cubic root of 66430848 is about 405.0014692829.

The spelling of 66430848 in words is "sixty-six million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 15727 31454 47181 62908 94362 125816 172997 188724 251632 345994 377448 503264 518991 691988 754896 1006528 1037982 1383976 1509792 2013056 2075964 2767952 3019584 4151928 5535904 6039168 8303856 11071808 16607712 22143616 33215424 66430848