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2082557628 = 2237298209
BaseRepresentation
bin111110000100001…
…0100111010111100
312101010200220000000
41330020110322330
513231113321003
6542352234300
7102415306404
oct17410247274
95333626000
102082557628
11979605408
124a153b990
132725c1928
1415a829804
15c2c6e1a3
hex7c214ebc

2082557628 has 96 divisors (see below), whose sum is σ = 5655048000. Its totient is φ = 670166784.

The previous prime is 2082557627. The next prime is 2082557641. The reversal of 2082557628 is 8267552802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082557627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249588 + ... + 257796.

It is an arithmetic number, because the mean of its divisors is an integer number (58906750).

Almost surely, 22082557628 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 2082557628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827524000).

2082557628 is an abundant number, since it is smaller than the sum of its proper divisors (3572490372).

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

2082557628 is an equidigital number, since it uses as much as digits as its factorization.

2082557628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2082557628 is about 45635.0482414558. The cubic root of 2082557628 is about 1277.0238528945.

The spelling of 2082557628 in words is "two billion, eighty-two million, five hundred fifty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 2187 2349 2916 3132 4374 4698 7047 8209 8748 9396 14094 16418 21141 24627 28188 32836 42282 49254 63423 73881 84564 98508 126846 147762 221643 238061 253692 295524 443286 476122 664929 714183 886572 952244 1329858 1428366 1994787 2142549 2659716 2856732 3989574 4285098 5984361 6427647 7979148 8570196 11968722 12855294 17953083 19282941 23937444 25710588 35906166 38565882 57848823 71812332 77131764 115697646 173546469 231395292 347092938 520639407 694185876 1041278814 2082557628