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66408384 = 263749411
BaseRepresentation
bin1111110101010…
…0111111000000
311121221220011210
43331110333000
5114000032014
610331210120
71434314310
oct375247700
9147856153
1066408384
1134538669
121a2a6940
13109b1b03
148b69440
155c6b859
hex3f54fc0

66408384 has 56 divisors (see below), whose sum is σ = 200810368. Its totient is φ = 18973440.

The previous prime is 66408371. The next prime is 66408389. The reversal of 66408384 is 48380466.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66408389) 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, 23362 + ... + 26049.

Almost surely, 266408384 is an apocalyptic number.

66408384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66408384 is an abundant number, since it is smaller than the sum of its proper divisors (134401984).

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

66408384 is a wasteful number, since it uses less digits than its factorization.

66408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49433 (or 49423 counting only the distinct ones).

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

The square root of 66408384 is about 8149.1339417143. The cubic root of 66408384 is about 404.9558128899.

The spelling of 66408384 in words is "sixty-six million, four hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 49411 98822 148233 197644 296466 345877 395288 592932 691754 790576 1037631 1185864 1383508 1581152 2075262 2371728 2767016 3162304 4150524 4743456 5534032 8301048 9486912 11068064 16602096 22136128 33204192 66408384