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66371808 = 2531767607
BaseRepresentation
bin1111110100110…
…0000011100000
311121220001000010
43331030003200
5113442344213
610330324520
71434102546
oct375140340
9147801003
1066371808
1134513138
121a289740
131099b279
148b59d96
155c60ac3
hex3f4c0e0

66371808 has 96 divisors (see below), whose sum is σ = 187536384. Its totient is φ = 20477952.

The previous prime is 66371803. The next prime is 66371831. The reversal of 66371808 is 80817366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66371801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109041 + ... + 109647.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 266371808 is an apocalyptic number.

66371808 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66371808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93768192).

66371808 is an abundant number, since it is smaller than the sum of its proper divisors (121164576).

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

66371808 is a wasteful number, since it uses less digits than its factorization.

66371808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 66371808 is about 8146.8894677662. The cubic root of 66371808 is about 404.8814528817.

The spelling of 66371808 in words is "sixty-six million, three hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 536 544 607 804 816 1072 1139 1214 1608 1632 1821 2144 2278 2428 3216 3417 3642 4556 4856 6432 6834 7284 9112 9712 10319 13668 14568 18224 19424 20638 27336 29136 30957 36448 40669 41276 54672 58272 61914 81338 82552 109344 122007 123828 162676 165104 244014 247656 325352 330208 488028 495312 650704 691373 976056 990624 1301408 1382746 1952112 2074119 2765492 3904224 4148238 5530984 8296476 11061968 16592952 22123936 33185904 66371808