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2857779040 = 255113263601
BaseRepresentation
bin1010101001010110…
…0011111101100000
321101011102012212011
42222111203331200
521323042412130
61151324042304
7130550502214
oct25225437540
97334365764
102857779040
111237161766
12679093394
133670aa31c
141d1784944
1511ad4e52a
hexaa563f60

2857779040 has 96 divisors (see below), whose sum is σ = 6848525376. Its totient is φ = 1126809600.

The previous prime is 2857778969. The next prime is 2857779061. The reversal of 2857779040 is 409777582.

2857779040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4754740 + ... + 4755340.

It is an arithmetic number, because the mean of its divisors is an integer number (71338806).

Almost surely, 22857779040 is an apocalyptic number.

2857779040 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 2857779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424262688).

2857779040 is an abundant number, since it is smaller than the sum of its proper divisors (3990746336).

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

2857779040 is a wasteful number, since it uses less digits than its factorization.

2857779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The square root of 2857779040 is about 53458.1989969733. The cubic root of 2857779040 is about 1419.0887229953.

The spelling of 2857779040 in words is "two billion, eight hundred fifty-seven million, seven hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 263 452 526 565 601 904 1052 1130 1202 1315 1808 2104 2260 2404 2630 3005 3616 4208 4520 4808 5260 6010 8416 9040 9616 10520 12020 18080 19232 21040 24040 29719 42080 48080 59438 67913 96160 118876 135826 148595 158063 237752 271652 297190 316126 339565 475504 543304 594380 632252 679130 790315 951008 1086608 1188760 1264504 1358260 1580630 2173216 2377520 2529008 2716520 3161260 4755040 5058016 5433040 6322520 10866080 12645040 17861119 25290080 35722238 71444476 89305595 142888952 178611190 285777904 357222380 571555808 714444760 1428889520 2857779040