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842682840 = 233541592903
BaseRepresentation
bin110010001110100…
…101000111011000
32011201122201112120
4302032211013120
53211211322330
6215341341240
726611454166
oct6216450730
92151581476
10842682840
113a27440aa
121b6267820
131057788cc
147dcba236
154dea8c10
hex323a51d8

842682840 has 128 divisors (see below), whose sum is σ = 2634508800. Its totient is φ = 215444480.

The previous prime is 842682839. The next prime is 842682847. The reversal of 842682840 is 48286248.

It is a Cunningham number, because it is equal to 290292-1.

It is a super-2 number, since 2×8426828402 = 1420228737660931200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842682792 and 842682801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842682847) 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, 288829 + ... + 291731.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2842682840 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 842682840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

842682840 is an abundant number, since it is smaller than the sum of its proper divisors (1791825960).

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

842682840 is a wasteful number, since it uses less digits than its factorization.

842682840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 842682840 is about 29028.9999827758. Note that the first 4 decimals coincide. The cubic root of 842682840 is about 944.5422379115.

The spelling of 842682840 in words is "eight hundred forty-two million, six hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 59 60 82 118 120 123 164 177 205 236 246 295 328 354 410 472 492 590 615 708 820 885 984 1180 1230 1416 1640 1770 2360 2419 2460 2903 3540 4838 4920 5806 7080 7257 8709 9676 11612 12095 14514 14515 17418 19352 23224 24190 29028 29030 34836 36285 43545 48380 58056 58060 69672 72570 87090 96760 116120 119023 145140 171277 174180 238046 290280 342554 348360 357069 476092 513831 595115 685108 714138 856385 952184 1027662 1190230 1370216 1428276 1712770 1785345 2055324 2380460 2569155 2856552 3425540 3570690 4110648 4760920 5138310 6851080 7022357 7141380 10276620 14044714 14282760 20553240 21067071 28089428 35111785 42134142 56178856 70223570 84268284 105335355 140447140 168536568 210670710 280894280 421341420 842682840