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2028593820 = 2235113783071
BaseRepresentation
bin111100011101001…
…1110001010011100
312020101011020120110
41320322132022130
513123310000240
6533143450020
7101161522461
oct17072361234
95211136513
102028593820
119510a7620
12487456910
13264379296
141535bd668
15bd15ec80
hex78e9e29c

2028593820 has 96 divisors (see below), whose sum is σ = 6363979776. Its totient is φ = 478483200.

The previous prime is 2028593789. The next prime is 2028593839. The reversal of 2028593820 is 283958202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17116 + ... + 65955.

It is an arithmetic number, because the mean of its divisors is an integer number (66291456).

Almost surely, 22028593820 is an apocalyptic number.

2028593820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028593820 is an abundant number, since it is smaller than the sum of its proper divisors (4335385956).

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

2028593820 is a wasteful number, since it uses less digits than its factorization.

2028593820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83131 (or 83129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2028593820 is about 45039.9136322440. The cubic root of 2028593820 is about 1265.8969865443.

The spelling of 2028593820 in words is "two billion, twenty-eight million, five hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 83071 166142 249213 332284 415355 498426 830710 913781 996852 1246065 1661420 1827562 2492130 2741343 3073627 3655124 4568905 4984260 5482686 6147254 9137810 9220881 10965372 12294508 13706715 15368135 18275620 18441762 27413430 30736270 33809897 36883524 46104405 54826860 61472540 67619794 92208810 101429691 135239588 169049485 184417620 202859382 338098970 405718764 507148455 676197940 1014296910 2028593820