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2858193240 = 2335717919009
BaseRepresentation
bin1010101001011100…
…1001000101011000
321101012012021000220
42222113021011120
521323144140430
61151341000040
7130554145620
oct25227110530
97335167026
102858193240
111237414981
12679253020
133671c3a06
141d1851880
1511add2110
hexaa5c9158

2858193240 has 128 divisors (see below), whose sum is σ = 9854784000. Its totient is φ = 649617408.

The previous prime is 2858193203. The next prime is 2858193241. The reversal of 2858193240 is 423918582.

It is a super-3 number, since 3×28581932403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2858193192 and 2858193201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858193241) 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, 140856 + ... + 159864.

It is an arithmetic number, because the mean of its divisors is an integer number (76990500).

Almost surely, 22858193240 is an apocalyptic number.

2858193240 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 2858193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927392000).

2858193240 is an abundant number, since it is smaller than the sum of its proper divisors (6996590760).

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

2858193240 is a wasteful number, since it uses less digits than its factorization.

2858193240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19209 (or 19205 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2858193240 is about 53462.0729115510. The cubic root of 2858193240 is about 1419.1572795148.

The spelling of 2858193240 in words is "two billion, eight hundred fifty-eight million, one hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 179 210 280 358 420 537 716 840 895 1074 1253 1432 1790 2148 2506 2685 3580 3759 4296 5012 5370 6265 7160 7518 10024 10740 12530 15036 18795 19009 21480 25060 30072 37590 38018 50120 57027 75180 76036 95045 114054 133063 150360 152072 190090 228108 266126 285135 380180 399189 456216 532252 570270 665315 760360 798378 1064504 1140540 1330630 1596756 1995945 2281080 2661260 3193512 3402611 3991890 5322520 6805222 7983780 10207833 13610444 15967560 17013055 20415666 23818277 27220888 34026110 40831332 47636554 51039165 68052220 71454831 81662664 95273108 102078330 119091385 136104440 142909662 190546216 204156660 238182770 285819324 357274155 408313320 476365540 571638648 714548310 952731080 1429096620 2858193240