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28040064 = 2731341137
BaseRepresentation
bin110101011110…
…1101110000000
31221202120201220
41222331232000
524134240224
62440555040
7460223313
oct152755600
957676656
1028040064
1114911a08
129482a80
135a69b70
143a1c97a
1526dd279
hex1abdb80

28040064 has 128 divisors (see below), whose sum is σ = 82766880. Its totient is φ = 8355840.

The previous prime is 28040057. The next prime is 28040069. The reversal of 28040064 is 46004082.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28040069) 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, 204604 + ... + 204740.

Almost surely, 228040064 is an apocalyptic number.

28040064 is a gapful number since it is divisible by the number (24) 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 28040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41383440).

28040064 is an abundant number, since it is smaller than the sum of its proper divisors (54726816).

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

28040064 is a wasteful number, since it uses less digits than its factorization.

28040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28040064 is about 5295.2869610626. The cubic root of 28040064 is about 303.8036589990.

The spelling of 28040064 in words is "twenty-eight million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 137 156 164 192 208 246 274 312 328 384 411 416 492 533 548 624 656 822 832 984 1066 1096 1248 1312 1599 1644 1664 1781 1968 2132 2192 2496 2624 3198 3288 3562 3936 4264 4384 4992 5248 5343 5617 6396 6576 7124 7872 8528 8768 10686 11234 12792 13152 14248 15744 16851 17056 17536 21372 22468 25584 26304 28496 33702 34112 42744 44936 51168 52608 56992 67404 68224 73021 85488 89872 102336 113984 134808 146042 170976 179744 204672 219063 227968 269616 292084 341952 359488 438126 539232 584168 683904 718976 876252 1078464 1168336 1752504 2156928 2336672 3505008 4673344 7010016 9346688 14020032 28040064