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2028714256 = 2429127173199
BaseRepresentation
bin111100011101011…
…1011100100010000
312020101101100210001
41320322323210100
513123322324011
6533150215344
7101162533552
oct17072734420
95211340701
102028714256
1195117a058
124874b4554
132643bc04a
141536114d2
15bd1857c1
hex78ebb910

2028714256 has 80 divisors (see below), whose sum is σ = 4142592000. Its totient is φ = 961196544.

The previous prime is 2028714203. The next prime is 2028714257. The reversal of 2028714256 is 6524178202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2028714257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10194445 + ... + 10194643.

It is an arithmetic number, because the mean of its divisors is an integer number (51782400).

Almost surely, 22028714256 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 2028714256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071296000).

2028714256 is an abundant number, since it is smaller than the sum of its proper divisors (2113877744).

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

2028714256 is a wasteful number, since it uses less digits than its factorization.

2028714256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2028714256 is about 45041.2506043072. The cubic root of 2028714256 is about 1265.9220378140.

It can be divided in two parts, 20287 and 14256, that added together give a palindrome (34543).

The spelling of 2028714256 in words is "two billion, twenty-eight million, seven hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 127 173 199 232 254 346 398 464 508 692 796 1016 1384 1592 2032 2768 3184 3683 5017 5771 7366 10034 11542 14732 20068 21971 23084 25273 29464 34427 40136 43942 46168 50546 58928 68854 80272 87884 92336 101092 137708 175768 202184 275416 351536 404368 550832 637159 732917 998383 1274318 1465834 1996766 2548636 2931668 3993532 4372229 5097272 5863336 7987064 8744458 10194544 11726672 15974128 17488916 34977832 69955664 126794641 253589282 507178564 1014357128 2028714256