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66030816 = 253838287
BaseRepresentation
bin1111101111100…
…0110011100000
311121020201020210
43323320303200
5113400441231
610315134120
71431152445
oct373706340
9147221223
1066030816
11342aaa25
121a144340
13108abcb7
148aab9cc
155be4a46
hex3ef8ce0

66030816 has 48 divisors (see below), whose sum is σ = 175440384. Its totient is φ = 21742464.

The previous prime is 66030799. The next prime is 66030823. The reversal of 66030816 is 61803066.

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

It is a congruent number.

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, 3825 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (3655008).

Almost surely, 266030816 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 66030816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87720192).

66030816 is an abundant number, since it is smaller than the sum of its proper divisors (109409568).

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

66030816 is a wasteful number, since it uses less digits than its factorization.

66030816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66030816 is about 8125.9347769964. The cubic root of 66030816 is about 404.1868886659.

The spelling of 66030816 in words is "sixty-six million, thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 8287 16574 24861 33148 49722 66296 99444 132592 198888 265184 397776 687821 795552 1375642 2063463 2751284 4126926 5502568 8253852 11005136 16507704 22010272 33015408 66030816