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66448284 = 22371077393
BaseRepresentation
bin1111110101111…
…0101110011100
311122000220220120
43331132232130
5114002321114
610332114540
71434541530
oct375365634
9148026816
1066448284
1134565641
121a305a50
13109c7016
148b79bc0
155c785a9
hex3f5eb9c

66448284 has 48 divisors (see below), whose sum is σ = 178875648. Its totient is φ = 18805248.

The previous prime is 66448267. The next prime is 66448313. The reversal of 66448284 is 48284466.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5292 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (3726576).

Almost surely, 266448284 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 66448284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89437824).

66448284 is an abundant number, since it is smaller than the sum of its proper divisors (112427364).

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

66448284 is a wasteful number, since it uses less digits than its factorization.

66448284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514 (or 7512 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 66448284 is about 8151.5816870102. The cubic root of 66448284 is about 405.0368995491.

The spelling of 66448284 in words is "sixty-six million, four hundred forty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 7393 8988 14786 22179 29572 44358 51751 88716 103502 155253 207004 310506 621012 791051 1582102 2373153 3164204 4746306 5537357 9492612 11074714 16612071 22149428 33224142 66448284