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66075048 = 23331323531
BaseRepresentation
bin1111110000001…
…1100110101000
311121022221221000
43330003212220
5113403400143
610320115000
71431425424
oct374034650
9147287830
1066075048
1134330186
121a165a60
13108c6180
148abdb84
155c02bd3
hex3f039a8

66075048 has 64 divisors (see below), whose sum is σ = 197668800. Its totient is φ = 20329920.

The previous prime is 66075041. The next prime is 66075049. The reversal of 66075048 is 84057066.

It is a happy number.

66075048 is a `hidden beast` number, since 6 + 607 + 5 + 0 + 48 = 666.

66075048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66075041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8958 + ... + 14573.

It is an arithmetic number, because the mean of its divisors is an integer number (3088575).

Almost surely, 266075048 is an apocalyptic number.

It is an amenable number.

66075048 is an abundant number, since it is smaller than the sum of its proper divisors (131593752).

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

66075048 is a wasteful number, since it uses less digits than its factorization.

66075048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23559 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66075048 is about 8128.6559774664. The cubic root of 66075048 is about 404.2771192838.

The spelling of 66075048 in words is "sixty-six million, seventy-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 23531 47062 70593 94124 141186 188248 211779 282372 305903 423558 564744 611806 635337 847116 917709 1223612 1270674 1694232 1835418 2447224 2541348 2753127 3670836 5082696 5506254 7341672 8259381 11012508 16518762 22025016 33037524 66075048