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282630589940 = 225174615213461
BaseRepresentation
bin1000001110011100001…
…10001000110111110100
31000000112000022120111102
410013032012020313310
514112311412334230
6333501054225232
726263564243016
oct4071606106764
91000460276442
10282630589940
11a9954666456
12469384b5218
132086244758a
14d9723821b6
157542867045
hex41ce188df4

282630589940 has 96 divisors (see below), whose sum is σ = 631191784608. Its totient is φ = 105936896000.

The previous prime is 282630589939. The next prime is 282630589949. The reversal of 282630589940 is 49985036282.

It can be written as a sum of positive squares in 16 ways, for example, as 111787247716 + 170843342224 = 334346^2 + 413332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282630589949) 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, 81659810 + ... + 81663270.

It is an arithmetic number, because the mean of its divisors is an integer number (6574914423).

Almost surely, 2282630589940 is an apocalyptic number.

282630589940 is a gapful number since it is divisible by the number (20) 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 282630589940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315595892304).

282630589940 is an abundant number, since it is smaller than the sum of its proper divisors (348561194668).

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

282630589940 is a wasteful number, since it uses less digits than its factorization.

282630589940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 282630589940 in words is "two hundred eighty-two billion, six hundred thirty million, five hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 521 922 1042 1844 2084 2305 2605 3461 4610 5210 6922 7837 8857 9220 10420 13844 15674 17305 17714 31348 34610 35428 39185 44285 58837 69220 78370 88570 117674 156740 177140 235348 240181 294185 480362 588370 960724 1176740 1200905 1595521 1803181 2401810 3191042 3606362 4083077 4803620 6382084 7212724 7977605 8166154 9015905 15955210 16332308 18031810 20415385 27123857 30654077 31910420 36063620 40830770 54247714 61308154 81661540 108495428 122616308 135619285 153270385 271238570 306540770 542477140 613081540 831266441 1662532882 3325065764 4156332205 8312664410 14131529497 16625328820 28263058994 56526117988 70657647485 141315294970 282630589940